All questions of Friction for Civil Engineering (CE) Exam

The frictional force always acts ____________ to the surface of the application of the friction.
  • a)
    Tangential
  • b)
    Perpendicular
  • c)
    Parallel
  • d)
    Normal
Correct answer is option 'A'. Can you explain this answer?

Nishanth Basu answered
The friction is the phenomena that defines that there is a resistance which is present there between the two surfaces. This friction is applied tangentially to the surfaces in contact. Thus the main thing is that the forces on both of the surfaces act tangential to each other.

Who gave the concept of Dry friction?
  • a)
    C.A. Coulomb
  • b)
    GA. Coulomb
  • c)
    C.P Coulomb
  • d)
    Albert Einstein
Correct answer is option 'A'. Can you explain this answer?

Rajeev Menon answered
The dry friction is also termed as the Coulomb friction as it was given by C.A. Coulomb. And they are tangential to each other. As we know the friction is the phenomena that defines that there is a resistance which is present there between the two surfaces.

The frictional force is directly proportional to the surface of the solid.
  • a)
    True
  • b)
    False
Correct answer is option 'B'. Can you explain this answer?

Sai Reddy answered
The frictional force is directly proportional to the vertical forces that is being applied normal to the surface of the body. The force of friction is not dependent on the type of the surface. Thus the only thing the frictional force does depend is the normal force.

The frictional force is directly proportional to the ____________
  • a)
    Applied load
  • b)
    Type of surface used
  • c)
    The normal force
  • d)
    The horizontal load
Correct answer is option 'C'. Can you explain this answer?

Meera Bose answered
The frictional force is directly proportional to the vertical force that is being applied normal to the surface of the body. The force of friction is not dependent on the type of the surface. Thus the only thing the frictional force does depend is the normal force.

The frictional force developed always acts ____________ to the surface of the application of the friction.
  • a)
    Tangential
  • b)
    Perpendicular
  • c)
    Parallel
  • d)
    Normal
Correct answer is option 'A'. Can you explain this answer?

Ayush Chawla answered
The friction is the phenomena that defines that there is a resistance which is present there between the two surfaces. This friction is applied tangentially to the surfaces in contact. Thus the main thing is that the forces on both of the surfaces act tangential to each other.

The maximum value of the frictional force is called _________
  • a)
    Limiting Friction
  • b)
    Non-Limiting Friction
  • c)
    Limiting Action Friction
  • d)
    Non-Limiting Action Friction
Correct answer is option 'A'. Can you explain this answer?

The friction is the phenomena that defines that there is a resistance which is present there between the two surfaces. The two surfaces are in contact and the friction applies at that surface only, resisting the motion of the surface. Thus the maximum values is called as limiting friction.

As the free body diagram of the problem statement involves the use of forces. So in them the ___________ forces do not cause the rotation.
  • a)
    Non-concurrent
  • b)
    Concurrent
  • c)
    Parallel
  • d)
    Non-Parallel
Correct answer is option 'B'. Can you explain this answer?

Sai Reddy answered
The concurrent forces are the one are somewhere touching the axis of rotation. If any of the force is touching that axis, that force is not considered, or is insufficient to cause a rotation. If a force is concurrent then the perpendicular distance of the force from the line of axis is zero, thus no rotation. As we know rotation is caused by moment.

For determination of the equilibrium state in the free body diagram the basic way of getting the direction of the moment caused by the force is:
  • a)
    The use of left hand rule with thumb giving the direction of moment
  • b)
    The use of right hand rule with thumb giving the direction of moment
  • c)
    The use of right hand rule with forefinger giving the direction of moment
  • d)
    The use of left hand rule with forefinger giving the direction of moment
Correct answer is option 'B'. Can you explain this answer?

Explanation:

Equilibrium State:
The equilibrium state of a system is when all the forces and moments acting on it are balanced, resulting in no net acceleration or rotation. To determine the equilibrium state, a free body diagram is used, which shows all the forces and moments acting on the system.

Determining the Direction of the Moment:
To determine the direction of the moment caused by a force, the right hand rule is used. The right hand rule states that if the fingers of the right hand curl in the direction of the force, then the thumb points in the direction of the moment.

Right Hand Rule:
The right hand rule is a common method used in physics and engineering to determine the direction of a vector quantity. It is particularly useful for determining the direction of a moment caused by a force.

Steps to Use the Right Hand Rule:
1. Align the fingers of your right hand in the direction of the force.
2. Curl the fingers towards the palm of your hand.
3. The thumb of your right hand will then point in the direction of the moment caused by the force.

Why Option B is Correct:
Option B states that the right hand rule should be used with the thumb giving the direction of the moment. This is the correct way to determine the direction of the moment caused by a force in a free body diagram.

Alternative Options:
- Option A suggests using the left hand rule with the thumb giving the direction of the moment. This is incorrect as the left hand rule is commonly used to determine the direction of magnetic fields, not moments caused by forces.
- Option C suggests using the right hand rule with the forefinger giving the direction of the moment. This is incorrect as the thumb, not the forefinger, is used to determine the direction of the moment.
- Option D suggests using the left hand rule with the forefinger giving the direction of the moment. This is incorrect for the same reasons as option A.

Conclusion:
In conclusion, the correct way to determine the direction of the moment caused by a force in a free body diagram is by using the right hand rule with the thumb giving the direction of the moment. This rule is widely used in physics and engineering to determine the direction of vector quantities.

The coefficient of static friction does depend upon the surface on which the body is being slide.
  • a)
    True
  • b)
    False
Correct answer is option 'A'. Can you explain this answer?

Anshul Basu answered
The constant in the equation F = µN is known as the coefficient of static friction. This is the proportionality constant and is generally used to express the equation of the frictional force. The value of this constant is generally from 0 to infinite, depending on the surface.

The normal force exerted by the surface of the wedge is normal to the surface of the ________
  • a)
    Base of the wedge
  • b)
    Base of the body residing over it
  • c)
    Base of the body just neighbour to the wedge
  • d)
    Earth’s surface
Correct answer is option 'B'. Can you explain this answer?

As we know the normal forces act perpendicular to the surfaces of the body kept over the wedges. Thus the normal force exerted by the surface of the wedge is normal to the surface of the base of the body kept over the wedge. The wedges are very useful in the industries, and it has a wide application.

The block used to explain the theory of friction is kept over non-deformable surface.
  • a)
    True
  • b)
    False
Correct answer is option 'B'. Can you explain this answer?

Anjali Shah answered
The block used to explain the theory of friction is a used in a deformable surface. As we know that the theory of friction says that when there is no lubricating fluid present between the surfaces in contact, the dry friction occurs. Thus to show the same experiments are done over a non-rigid/deformable surface.

The horizontal distance used in the inverse trigonometry function is called as _____________
  • a)
    Lead
  • b)
    Un-lead
  • c)
    Major
  • d)
    Cut-off
Correct answer is option 'A'. Can you explain this answer?

Nandini Basak answered
The angle of the threading in the screw is determined by inverse tangent trigonometric function. This is the generalised form of the function which is being used so as to get the value of the angle. In wedges the same function is used so as to find the angle of wedge. And thus the horizontal distance is called as lead.

In rolling there is the involvement of the vector math. So for rolling which of the following is correct? (For A representing the vector representation of the axis of rotation, r the radius vector and F the force vector)
  • a)
    A.(rxF)
  • b)
    Ax(rxF)
  • c)
    A.(r.F)
  • d)
    Fx(r.F)
Correct answer is option 'A'. Can you explain this answer?

Raj Kumar answered
The correct form of the equation is given by A.(rxF). Where A represents the vector representation of the axis of rotation, r the radius vector and F the force vector. This is usually done for determining the moment of the force about the axis. That is if body is being rotated by the force about an axis.

When does the two wedge system is termed as self-locking system?
  • a)
    If friction forces hold the block in plane
  • b)
    If friction forces doesn’t hold the block in plane
  • c)
    If friction forces hold the block in phase
  • d)
    If friction forces doesn’t hold the block in phase
Correct answer is option 'A'. Can you explain this answer?

Arnav Menon answered
If friction forces hold the block in plane the two wedge system is termed as self-locking system. This is generally the concept used to lift up the boxes and then it is also used as to make the very heavy works easy. Thus the wedges are very useful in the industries, and it has a wide application.

The collar bearings are generally used in __________
  • a)
    Belts
  • b)
    Columns
  • c)
    Beams
  • d)
    Machines
Correct answer is option 'D'. Can you explain this answer?

Nayanika Joshi answered
The collar bearings are being used in the machines. They are used as to support the loadings. This means that the more the collar bearings the more is the stable the structure. Thus the use of collar bearings.

Dry friction is also called _____________
  • a)
    Column Friction
  • b)
    Coulomb Friction
  • c)
    Dry column friction
  • d)
    Surface friction
Correct answer is option 'B'. Can you explain this answer?

Swara Dasgupta answered
The dry friction is acted upon the surfaces. And they are tangential to each other. As we know the friction is the phenomena that defines that there is a resistance which is present there between the two surfaces. The dry friction is also termed as the Coulomb friction as it was given by C.A. Coulomb.

There are main two types of forces which are being stated in the free body diagram, they are generally the resultant forces which are being acted over the body. Which are they?
  • a)
    Normal and Frictional
  • b)
    Normal and Vertical
  • c)
    Vertical and Frictional
  • d)
    Normal and Fractional
Correct answer is option 'A'. Can you explain this answer?

Vaibhav Khanna answered
The net forces acting on the body is shown by the help of the resultant forces. There are two types, first the frictional and the second is the normal. This is because the resultant forces have the sum of all the forces which are acting on the direction which is same.

In the explanation of the theory of friction, the block used have an assumption. That is the upper portion of the block is considered to be rigid.
  • a)
    True
  • b)
    False
Correct answer is option 'B'. Can you explain this answer?

Rajat Basu answered
The block used to explain the theory of friction is placed on a deformable surface. As we know that the theory of friction says that when there is no lubricating fluid present between the surfaces in contact, the dry friction occurs. Thus to show the same, experiments are done over a non-rigid/deformable surface which is having a rigid shape.

The ___________ forces do not cause the rotation/rolling of the body if the rotation is considered in about the axis of the body or the centroid axis of the body.
  • a)
    Non-concurrent
  • b)
    Concurrent
  • c)
    Parallel
  • d)
    Non-Parallel
Correct answer is option 'B'. Can you explain this answer?

Poulomi Khanna answered
Concurrent and Non-concurrent Forces:
Concurrent forces refer to forces whose lines of action intersect at a common point. In other words, all the forces act through a single point. On the other hand, non-concurrent forces are forces that do not intersect at a common point. They have different lines of action.

Rotation and Rolling:
Rotation refers to the movement of a body about a fixed axis. When a body rotates, different points on the body move in circular paths around the axis of rotation. Rolling, on the other hand, is a combination of rotational and translational motion. In rolling, a body moves forward while also rotating about its axis.

Forces causing Rotation and Rolling:
When a body is subjected to forces, these forces can cause both rotation and rolling. The forces that cause rotation are called torque or moment of forces. Torque is the product of force and the perpendicular distance between the point of rotation and the line of action of the force.

Concurrent Forces causing Rotation:
If the forces acting on a body are concurrent, meaning they intersect at a common point, they can cause rotation about any axis passing through that point. The sum of the torques produced by these concurrent forces about any axis passing through the common point is zero. Therefore, concurrent forces can cause rotation of the body.

Non-concurrent Forces causing Rotation:
On the other hand, if the forces acting on a body are non-concurrent, they cannot cause rotation of the body about any arbitrary axis passing through the point of intersection. The sum of the torques produced by these non-concurrent forces about any arbitrary axis is not zero. Therefore, non-concurrent forces do not cause rotation of the body.

Rotation about the Axis of the Body or Centroid Axis:
The question specifically mentions that the rotation is considered about the axis of the body or the centroid axis of the body. Since the forces are non-concurrent, they cannot cause rotation about these axes. Therefore, the correct answer is option 'B' - Concurrent forces do not cause the rotation/rolling of the body if the rotation is considered about the axis of the body or the centroid axis of the body.

The moment is the cross product of which two vectors in the calculations of the pivots and disks?
  • a)
    Force and Radius vectors
  • b)
    Radius and Force vectors
  • c)
    Force and Radius scalars
  • d)
    Radius and Force scalars
Correct answer is option 'B'. Can you explain this answer?

Sai Reddy answered
The cross product needs to take in the proper sequence. If not taken then the answer is just the opposite of the true answer. That’s why, the answer is not the Force and Radius vectors, but the Radius and Force vectors. Because the moment has its direction, as many of the cross products have, and thus precaution needs to be taken.

The basic type of motion of a body is translation motion only.
  • a)
    True
  • b)
    False
Correct answer is option 'B'. Can you explain this answer?

Saptarshi Nair answered

Explanation:

Translation motion is not the only type of motion a body can exhibit. There are several types of motion that a body can undergo. Let's explore the different types of motion:

1. Translation Motion:
Translation motion involves the movement of an object from one point to another without any rotation. This is the simplest form of motion where all points on the body move in parallel paths, maintaining the same orientation relative to each other.

2. Rotational Motion:
Rotational motion involves the movement of an object around an axis. In this type of motion, different points on the body move in circles around the axis of rotation. Examples of rotational motion include the spinning of a top or the rotation of a wheel.

3. Oscillatory Motion:
Oscillatory motion involves the back and forth movement of an object around a central point or equilibrium position. This type of motion is characterized by periodic changes in position. Examples of oscillatory motion include the swinging of a pendulum or the vibrations of a guitar string.

4. Circular Motion:
Circular motion involves the movement of an object along a circular path. In this type of motion, the object moves in a circular trajectory around a fixed point. Examples of circular motion include the motion of planets around the sun or the motion of a car around a roundabout.

Therefore, it is incorrect to say that the basic type of motion of a body is translation motion only. Bodies can exhibit various types of motion, including translation, rotation, oscillation, and circular motion.

We slip while walking on a path having pond scum or green algae because: 
  • a)
    The inertia of motion
  • b)
    The friction is zero
  • c)
    The friction between the feet and the path is increased.
  • d)
    The friction between the feet and the path is reduced.
Correct answer is option 'D'. Can you explain this answer?

The reason we slip while walking on a path covered with pond scum or green algae is because the friction between our feet and the path is reduced.

Inertia of Motion

The inertia of motion refers to the tendency of an object to continue moving in a straight line at a constant speed unless acted upon by an external force. While inertia is a factor that affects slipping on a surface, it is not the primary reason for slipping on pond scum or green algae.

Zero Friction

If the friction between our feet and the path were zero, we would not be able to walk at all. Friction is necessary to provide the necessary grip or traction between our feet and the ground to propel ourselves forward. Therefore, the reason for slipping cannot be zero friction.

Increased Friction

If the friction between our feet and the path were increased, it would actually improve our grip on the surface and make it less likely for us to slip. Increased friction would provide better traction and stability, making it easier to walk on the path. Therefore, the reason for slipping cannot be increased friction.

Reduced Friction

The correct reason for slipping on pond scum or green algae is that the friction between our feet and the path is reduced. Pond scum or green algae creates a slimy and slippery surface, which reduces the friction between our feet and the ground. With reduced friction, it becomes more difficult to maintain traction while walking, leading to slips and falls.

When walking on a path covered with pond scum or green algae, the slimy layer acts as a lubricant, reducing the contact between our feet and the ground. This reduces the frictional force, making it easier for our feet to slide or slip on the surface. Additionally, the slimy layer may also prevent the formation of interlocking microstructures between our shoes and the ground, further reducing the grip.

Conclusion

In conclusion, we slip while walking on a path covered with pond scum or green algae because the friction between our feet and the path is reduced. The slimy and slippery nature of the pond scum acts as a lubricant, reducing the frictional force and making it difficult to maintain traction while walking.

Rotation is termed as rolling when _______
  • a)
    Constant velocity of rolling
  • b)
    Variable velocity of rolling
  • c)
    Constant speed of rolling
  • d)
    Variable speed of rolling
Correct answer is option 'A'. Can you explain this answer?

Anshu Patel answered
The rolling of the cylinder is termed as perfect rolling only when the cylinder is rolling at a constant velocity. Also the rolling should be along the rigid surface. The normal forces are acting perpendicular to the surface of the rolling.

For the rolling of the body right handed coordinate system means (consider the mentioned axis to be positive)?
  • a)
    Thumb is z-axis, fingers curled from x-axis to y-axis
  • b)
    Thumb is x-axis, fingers curled from z-axis to y-axis
  • c)
    Thumb is y-axis, fingers curled from x-axis to z-axis
  • d)
    Thumb is z-axis, fingers curled from y-axis to x-axis
Correct answer is option 'A'. Can you explain this answer?

As right handed coordinate system means that you are curling your fingers from positive x-axis towards y-axis and the thumb which is projected is pointed to the positive z-axis. Thus visualizing the same and knowing the basic members of axis will not create much problem. The right handed coordinate system is universal throughout.

For equilibrium the normal forces acts in which direction in the free body diagrams if they are constructed for the friction part calculations?
  • a)
    Vertically Upward
  • b)
    Vertically Downward
  • c)
    Horizontally Right
  • d)
    Horizontally Left
Correct answer is option 'A'. Can you explain this answer?

Aditya Chavan answered
As the loads are being acting in the downward direction. Thus to make the forces balance, the normal forces act in the vertically upward direction. As we know that when there is no lubricating fluid present between the surfaces in contact, the dry friction occurs. This friction magnitude is taken out from these normal forces.

What does the moment of the force measure in the rolling of the body?
  • a)
    The tendency of rotation of the body along any axis
  • b)
    The moment of inertia of the body about any axis
  • c)
    The couple moment produce by the single force acting on the body
  • d)
    The total work done on the body by the force
Correct answer is option 'A'. Can you explain this answer?

Anuj Chauhan answered
The moment of the force measures the tendency of the rotation of the body along any axis, whether it be the centroid axis of the body, or any of the outside axis. The couple moment is produced by two forces, not by a single force. The total work done is the dot product of force and distance not the cross.

If we apply oil on door hinges, the friction will
  • a)
    increase
  • b)
    disappear altogether
  • c)
    decrease
  • d)
    will remain unchanged 
Correct answer is option 'C'. Can you explain this answer?

Neha Joshi answered
Friction force:
  • Friction is the force that resists motion when the surface of one object comes into contact with the surface of another.
  • It is a force that opposes the relative motion of two bodies in contact.
  • The frictional force acts in a direction opposite to the direction of motion of the bodies in contact.
  • Frictional force prevents objects from gliding and ensures contact.
  • Friction forces also provide a significant amount of resistance to motion.
Lubricant:
  • It is a substance used for lubricating an engine or component, such as oil or grease.
  • ​There are 4 types of lubricants i.e., Oil, Grease, Penetrating Lubricants, and Dry Lubricants.
  • It aims at reducing friction between two moving objects. 
Explanation:
  • Friction force acts according to Newton's third law of motion.
  • To perform a motion, the force used to initiate it must be greater than the frictional force.
  • If we apply oil to the door hinges, the friction will decrease because lubrication always decreases friction between two surfaces.
  • Oil can be any type of lubricant.
  • For example, molybdenum sulphide and graphite.
Thus, if we apply oil on door hinges, the friction will decrease.

The moment is the cross product of which two vectors in the calculations of the journal bearings?
  • a)
    Force and Radius vectors
  • b)
    Radius and Force vectors
  • c)
    Force and Radius scalars
  • d)
    Radius and Force scalars
Correct answer is option 'B'. Can you explain this answer?

The cross product needs to take in the proper sequence. If not taken then the answer is just the opposite of the true answer. That’s why, the answer is not the Force and Radius vectors, but the Radius and Force vectors. Because the moment has its direction, as many of the cross products have, and thus precaution needs to be taken.

A phenomena is there in these collar bearings and pivots, which is very helpful in the supporting of the machines, and that is _____________
  • a)
    Column Friction
  • b)
    Coulomb Friction
  • c)
    Dry column friction
  • d)
    Surface friction
Correct answer is option 'B'. Can you explain this answer?

The dry friction is acted upon the surfaces. And they are tangential to each other. As we know the friction is the phenomena that defines that there is a resistance which is present there between the two surfaces. This Coulomb friction is also known as dry friction.

The phenomena of horizontal pull and push explains what?
  • a)
    Theory of friction
  • b)
    Theory of relativity
  • c)
    Theory of action
  • d)
    Theory of forces
Correct answer is option 'A'. Can you explain this answer?

Garima Basak answered
Horizontal Pull and Push
Horizontal pull and push refer to the forces acting on an object in the horizontal direction. These forces are essential to understand the theory of friction in mechanical engineering.

Theory of Friction
Friction is the resistance to motion when two objects are in contact with each other. When an object is pulled or pushed horizontally, the force required to move it is affected by the friction between the two surfaces. The horizontal pull and push forces play a crucial role in determining the amount of friction present.

Explanation
- When an object is pulled horizontally, the force applied must overcome the friction between the object and the surface it is resting on.
- Similarly, when an object is pushed horizontally, the force applied must also overcome the friction to move the object.
- The theory of friction helps to understand how these horizontal pull and push forces interact with the surfaces in contact and affect the motion of the object.

Significance
Understanding horizontal pull and push forces is vital in various mechanical engineering applications. It helps in designing systems that minimize frictional losses and optimize the efficiency of machines and mechanisms.
In conclusion, the phenomena of horizontal pull and push are essential in explaining the theory of friction in mechanical engineering. By considering these forces, engineers can better understand and control the interactions between objects in contact and improve the performance of mechanical systems.

For equilibrium the normal forces acts in which direction in the free body diagrams?
  • a)
    Vertically Upward
  • b)
    Vertically Downward
  • c)
    Horizontally Right
  • d)
    Horizontally Left
Correct answer is option 'A'. Can you explain this answer?

Isha Bajaj answered
The normal force is a contact force that acts perpendicular to the surface of an object. It arises due to the interaction between two surfaces in contact with each other. In the context of free body diagrams, the normal force represents the force exerted by a surface to support the weight of an object resting on it.

Explanation:
The normal force is always directed perpendicular to the surface of contact. It acts in a direction that is away from the surface, pushing against the object to prevent it from sinking into or passing through the surface. In the case of equilibrium, the normal force and the weight of the object are equal in magnitude but opposite in direction, resulting in a net force of zero.

- The normal force is always directed vertically upward in the free body diagrams.
- It acts in the opposite direction to the force of gravity.
- It counteracts the weight of the object to keep it in equilibrium.
- The normal force is exerted by the surface, and it is transmitted through the object to maintain stability.
- If the object is on a horizontal surface, the normal force acts vertically upward, perpendicular to the surface.
- The normal force can also act at an angle if the object is on an inclined plane, but it still acts perpendicular to the surface at the point of contact.
- In a vertical free body diagram, the normal force acts upward while the weight force acts downward.
- When the object is in equilibrium, the normal force is equal in magnitude and opposite in direction to the weight force, resulting in a net force of zero.

Conclusion:
In conclusion, the normal force in a free body diagram always acts vertically upward. It is a contact force exerted by a surface to support the weight of an object. The normal force is crucial in maintaining equilibrium and preventing objects from sinking into or passing through surfaces.

For a vector F, Fcosβ is equal to zero. What does this refer?
  • a)
    X-axis component is zero
  • b)
    Y-axis component is zero
  • c)
    Z-axis component is zero
  • d)
    β = 180˚
Correct answer is option 'B'. Can you explain this answer?

Mrinalini Sen answered
As we know the α, β and γ are the angles made by the x, y and z-axis respectively. Thus y-axis component is zero, or β = 90˚. And thus if the angle is giving component to be zero this means the vector in that particular axis is perpendicular to that axis.

The angle of the threading in the screw is determined by which of the following trigonometric function?
  • a)
    Tangent Inverse
  • b)
    Sine
  • c)
    Cosine
  • d)
    Secant
Correct answer is option 'A'. Can you explain this answer?

Jhanvi Datta answered
The angle of the threading in the screw is determined by inverse tangent trigonometric function. This is the generalised form of the function which is being used so as to get the value of the angle. In wedges the same function is used so as to find the angle of wedge.

Why are square threaded screws are used in the machines?
  • a)
    Large forces act along the axis of the screws
  • b)
    Small forces act along the axis of the screws
  • c)
    Large forces act perpendicular the axis of the screws
  • d)
    Small forces act perpendicular the axis of the screws
Correct answer is option 'A'. Can you explain this answer?

Anjali Shah answered
The square threaded screws are used in the machines. As these screws are generally used as the fasteners. The main thing about these screws is that the friction helps the holding of the structures. Also screws help make the structure join fast and efficiently. And in these screws forces act along the axis of screws.

In the equation A.(rxF) the r is heading from ______________ and ending at _____________
  • a)
    Axis of rolling, Force vector
  • b)
    Axis of rolling, Force vector’s point of action on the body
  • c)
    Force vector, Axis of rolling
  • d)
    Force vector’s point of action on the body, Axis of rolling
Correct answer is option 'B'. Can you explain this answer?

Raj Kumar answered
It is the radius vector. The radius vector is always from the axis of rolling to the point of action of the force on the body. Which means that the radius vector is not on any point on the force vector. Rather it ending at the point on the force vector, where it is being in contact of the body.

What is not the condition for the equilibrium in free body diagram for calculation of the normal forces?
  • a)
    ∑Fx=0
  • b)
    ∑Fy=0
  • c)
    ∑Fz=0
  • d)
    ∑F≠0
Correct answer is option 'D'. Can you explain this answer?

Kirti Bose answered
For the equilibrium in the three dimensional system of axis we have all the conditions true as, ∑Fx=0, ∑Fy=0 and ∑Fz=0. Also we have the summation of the forces equal to zero. Which is not a non-zero value.

In the simplification of the forces applied in the wedges net force acts at the ___________ of the loading body.
a) Centroid
b) The centre axis
c) The corner
d) The base
Correct answer is option 'A'. Can you explain this answer?

Devanshi Iyer answered
In the simplification of the loading system the net force acts at the centroid of the loading body. That is if the loading system is in the form of the triangle then the at the distance 2 by 3 of the base the net force of the loading will act. And the load will be half the area of the loading.

The three force system can also be in the equilibrium if:
  • a)
    All the forces are parallel to each other heading towards the same direction
  • b)
    The force components cancel each other
  • c)
    The forces are very small in magnitude
  • d)
    The forces are very huge in magnitude
Correct answer is option 'B'. Can you explain this answer?

Even if the forces components cancels each other than the body is said to be in equilibrium. Also it should satisfy whether the moments caused by the forces are equal to zero or not. This means that we need to take components of the normal and frictional forces so as to make the desired calculations.

The value of coefficient of friction is taken at that moment when the block is at the verge of moving.
  • a)
    True
  • b)
    False
Correct answer is option 'A'. Can you explain this answer?

The constant in the equation F = µN is known as the coefficient of static friction. This is the proportionality constant and is generally used to express the equation of the frictional force. And this coefficient is calculated by the help of experiments and is generally observed when the block is at the verge of moving.

We first make equilibrium equations of the body by considering all the three dimensional forces acting on the section chosen and then the free body diagram is made and solved.
  • a)
    The first part of the statement is false and other part is true
  • b)
    The first part of the statement is false and other part is false too
  • c)
    The first part of the statement is true and other part is false
  • d)
    The first part of the statement is true and other part is true too
Correct answer is option 'D'. Can you explain this answer?

Aniket Saini answered
Equilibrium equations and free body diagram are two important steps in solving mechanics problems. Let's break down the given statement:

Equilibrium equations:
When we talk about equilibrium equations, we are referring to the equations that describe the state of balance or equilibrium of an object. These equations are based on Newton's laws of motion and they help us determine the forces acting on an object and their direction. We can make equilibrium equations by considering all the three-dimensional forces acting on the section chosen.

Free body diagram:
A free body diagram is a visual representation of the forces acting on an object. It is a simplified diagram that shows the object as a dot and all the forces acting on it as arrows. The direction of the arrows indicates the direction of the force, and the length of the arrows indicates the magnitude of the force. Free body diagrams are used to analyze and solve mechanics problems.

Now, let's analyze the given statement:

a) The first part of the statement is false and the other part is true.
This is incorrect because equilibrium equations are indeed an important step in solving mechanics problems.

b) The first part of the statement is false and the other part is false too.
This is also incorrect because the second part of the statement is true.

c) The first part of the statement is true and the other part is false.
This is incorrect because both parts of the statement are true.

d) The first part of the statement is true and the other part is true too.
This is the correct answer because both equilibrium equations and free body diagrams are essential steps in solving mechanics problems.

In summary, the correct answer is option D because both equilibrium equations and free body diagrams are important steps in solving mechanics problems.

The angle of the inclination of wedge over which the block is sliding and is experiencing the kinetic friction is determined by which of the following trigonometric function?
  • a)
    Tangent Inverse
  • b)
    Cosine
  • c)
    Sine
  • d)
    Secant
Correct answer is option 'A'. Can you explain this answer?

Sanskriti Basu answered
The angle of the wedge over which the block is being slided is generally taken out by the help of the tangent inverse trigonometric function. Whether it may be the static or the kinetic friction, the ratio is the frictional force to the normal force. And this ratio is kept inside the inverse function.

The net force of the body is zero that means the force are not being applied to the body at all and hence the body is in equilibrium.
  • a)
    The first part of the statement is false and other part is true
  • b)
    The first part of the statement is false and other part is false too
  • c)
    The first part of the statement is true and other part is false
  • d)
    The first part of the statement is true and other part is true too
Correct answer is option 'C'. Can you explain this answer?

The statement "The net force of the body is zero" implies that all the forces acting on the body are balanced and cancel each other out. This means that the body is not accelerating and is in a state of equilibrium.

However, the first part of the statement "that means the force are not being applied to the body at all" is false. The net force being zero does not imply that no forces are acting on the body. It simply means that the vector sum of all the forces is zero.

To understand this concept, let's consider an example. Suppose a person is pushing a block on a frictionless surface. The person exerts a force on the block, and at the same time, the block exerts an equal and opposite force on the person (Newton's third law of motion). These two forces cancel each other out, resulting in a net force of zero on the block.

However, it is incorrect to say that no forces are being applied to the block. The person is definitely applying a force, and the block is exerting a force back on the person. The forces are present, but they are balanced.

Therefore, the first part of the statement is false. The net force being zero does not mean that no forces are being applied to the body.

On the other hand, the second part of the statement "hence the body is in equilibrium" is true. When the net force on a body is zero, it means that the body is not accelerating and is in a state of equilibrium. The body can be at rest or moving with a constant velocity, but there is no unbalanced force causing acceleration.

In summary, the correct answer is option 'C'. The first part of the statement is false, and the second part is true. The net force being zero does not imply that no forces are being applied to the body, but it does indicate that the body is in equilibrium.

The kinetic friction is applied when the body is __________
  • a)
    Moving
  • b)
    Stopped
  • c)
    Just stopped
  • d)
    Just started to move
Correct answer is option 'A'. Can you explain this answer?

Arshiya Dey answered
The kinetic friction is applied to the body by the surface when the body is moving. This means there is friction present and the coefficient of that friction is smaller than the static one. The main observation is that this is applied when the static friction attends its maximum value.

What is B in the equation T2 = T1eµB ?
  • a)
    Angle of the belt to surface contact in radians
  • b)
    Angle of the belt to surface contact in degrees
  • c)
    Angle of the belt in radians
  • d)
    Angle of the belt in degrees
Correct answer is option 'A'. Can you explain this answer?

For solving of the unknown tension in the belts, T2 = T1eµB equation is used. In this the R.H.S tension is the maximum tension of the two tensions. While the other one is the smaller one. And the µ is coefficient of friction between the belt and the surface. And the B is the angle of belt to the surface in radians.

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