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Test: Moment Of A Force - 2 - Civil Engineering (CE) MCQ


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20 Questions MCQ Test Engineering Mechanics - Test: Moment Of A Force - 2

Test: Moment Of A Force - 2 for Civil Engineering (CE) 2024 is part of Engineering Mechanics preparation. The Test: Moment Of A Force - 2 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Moment Of A Force - 2 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Moment Of A Force - 2 below.
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Test: Moment Of A Force - 2 - Question 1

Which of the following is correct in the determination of the moment direction by curling of wrist?

Detailed Solution for Test: Moment Of A Force - 2 - Question 1

The curled hand represents various thing. The direction of the moment axis is given by the thumb. The direction of the force is given by the fingers. As we place the fingers on the force and curl towards the rotational direction of the body about the axis.

Test: Moment Of A Force - 2 - Question 2

Find the moment along R.

Detailed Solution for Test: Moment Of A Force - 2 - Question 2

As we know that the moment is the cross product of the distance and the force we will try to apply the same here. But here we have number of forces components acting on the T point. So by adding all the moments caused by all the forces will give us the value as 0Nm.

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Test: Moment Of A Force - 2 - Question 3

For the below diagram determine the magnitude of the horizontal force applied at R which creates the same moment at P as by 75N.

Detailed Solution for Test: Moment Of A Force - 2 - Question 3

As we know that the moment is the cross product of the distance and the force we will try to apply the same here. We see that the perpendicular distance is 3sin60. Thus we get the distance. And hence multiply it with the force, moment = 112.5Nm. Because the force component perpendicular to the distance needs to be taken.

Test: Moment Of A Force - 2 - Question 4

 Which of the following is true?

Detailed Solution for Test: Moment Of A Force - 2 - Question 4

When we consider about the dimensions we need to be careful.The moment is the vector quantity. Thus the value of the total moment caused by various forces acting on the body is the vector sum of all the vectors. Also the moments are not perpendicular to each other, unless it is specified.

Test: Moment Of A Force - 2 - Question 5

The moment axis is in the direction parallel to the plane of the force and the distance.

Detailed Solution for Test: Moment Of A Force - 2 - Question 5

The moment axis is always perpendicular to the planes of the force and the distance of the axis and the point of action of the force on the body. This means that the moment is the cross product of the force and the distance between the axis and the point of action of the force.

Test: Moment Of A Force - 2 - Question 6

Determine the resultant moment caused by the forces in vector

Detailed Solution for Test: Moment Of A Force - 2 - Question 6

As we know that the moment is the cross product of the force and the distance between the point of contact of the force and the point about which moment needs to be calculated. Here distance r1 =5j m and r2 = 4i + 5j – 2k m. Thus doing the cross product will give the answer.

Test: Moment Of A Force - 2 - Question 7

Which of the following is correct w.r.t the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation?

Detailed Solution for Test: Moment Of A Force - 2 - Question 7

The moment of the force about the axis of rotation by the application of the force on the body is given by the cross product of both. If the force not perpendicular to the axis, and making angle θ then cosine form of angle is used. As usually used in the cross product.

Test: Moment Of A Force - 2 - Question 8

What does FLsinθ means/represents for the moment (M) of the force (F) acting on the body at a distance L from the axis of the rotation?

Detailed Solution for Test: Moment Of A Force - 2 - Question 8

The moment of the force about the axis of rotation by the application of the force on the body is given by the cross product of both. If the force not perpendicular to the axis, and making angle θ then cosine form of angle is used. Thus, FLsinθ represents the magnitude of the moment.

Test: Moment Of A Force - 2 - Question 9

The basic way of getting the direction of the moment caused by the force is:

Detailed Solution for Test: Moment Of A Force - 2 - Question 9

The basic way of doing so is to use right hand rule and not the left hand rule. The direction of the moment axis is given by the thumb. The direction of the force is given by the fingers. As we place the fingers on the force and curl towards the rotational direction of the body about the axis.

Test: Moment Of A Force - 2 - Question 10

If any force is applied in the direction of the positive x-axis, and there are three different point on which the moment of this force is to be calculated. Then if these three points are on the positive side of the y-axis with varying distance, then what will be the direction of the moment caused by the force to the individual point?

Detailed Solution for Test: Moment Of A Force - 2 - Question 10

If you will apply he right hand rule on the system given then the right answer is the positive z-axis. Which is because the force is lying on the x-axis and is heading towards the positive infinity of the x-axis. And the points are in the positive y-axis. Apply the rule, and get the direction.

Test: Moment Of A Force - 2 - Question 11

If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be______________

Detailed Solution for Test: Moment Of A Force - 2 - Question 11

If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. This is because the moment of the force which is acting on its line of axis at the point P is same throughout. Whatever be the direction of the distance.

Test: Moment Of A Force - 2 - Question 12

If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. What is the name of this property?

Detailed Solution for Test: Moment Of A Force - 2 - Question 12

 If a force applied at any point in its line of action and is still creating the same moment about any fixed point say P, then the force is said to be sliding vector. This is because the moment of the force which is acting on its line of axis at the point P is same throughout. This is known as the principle transmissibility of the force.

Test: Moment Of A Force - 2 - Question 13

We can express the force in the Cartesian form.

Detailed Solution for Test: Moment Of A Force - 2 - Question 13

Yes, we can prepare the moment in the Cartesian form. As the moment in the 3D is the vector. Which can be easily made in the form of Cartesian coordinates. Also it can be seen that the moment is the cross product of the force and the distance, hence the moment is in vector form.

Test: Moment Of A Force - 2 - Question 14

M = ∑(rxF) represents what?

Detailed Solution for Test: Moment Of A Force - 2 - Question 14

The given equation represents the total moment of the forces which are acting on the body. That is the summation of all the rxF. Where the r is the distance of the axis from the point of action of the force on the body. And thus this is the total summation of the moments of all the forces acting on the body.

Test: Moment Of A Force - 2 - Question 15

If a 12m high tree is being pulled by the tractor, by a rope tied over the top. With the tractor at a linear distance of 12m and 4m away perpendicularly from the tree. If the force applied by the tractor is 2KN then what is the moment caused about the roots of the tree?

Detailed Solution for Test: Moment Of A Force - 2 - Question 15

The force developed is 2KN, and the roots are having the coordinate (0, 0, 0). Coordinates of the top of the tree is (0, 0, 12). The tractor’s coordinates are (4, 12, 0). Thus applying the cross product on the force and the distance of the tractor from the roots we get the answer as -16.5i+5.51j KNm.

Test: Moment Of A Force - 2 - Question 16

If F = F1+F2, then moment of this force F about a point at a distance r is M=rxF1 + rxF2.

Detailed Solution for Test: Moment Of A Force - 2 - Question 16

If F = F1+F2, then moment of this force F about a point at a distance r is M=rxF1 + rxF2.
As M = rx(F) = rx(F1 + F2) = rxF1 + rxF2. This is known as the principle of moments. As the force is a vector quantity thus this is the distributive property which we apply to get the answer.

Test: Moment Of A Force - 2 - Question 17

Determine the moment of the force about the point X.

Detailed Solution for Test: Moment Of A Force - 2 - Question 17

As we know that the moment is the cross product of the force and the distance between the point of contact of the force and the point about which moment needs to be calculated. Thus forming the distance vector and then crossing it with the force will give us the answer. Remember force also needs to be in the vector form for doing the cross product.

Test: Moment Of A Force - 2 - Question 18

Determine the moment about the point Q by the force shown as 400N.

Detailed Solution for Test: Moment Of A Force - 2 - Question 18

As we know that the moment is the cross product of the force and the distance between the point of contact of the force and the point about which moment needs to be calculated. Thus forming the distance vector and then crossing it with the force will give us the answer. Remember force also needs to be in the vector form for doing the cross product.

Test: Moment Of A Force - 2 - Question 19

Determine the moment about the point P.

Detailed Solution for Test: Moment Of A Force - 2 - Question 19

As we know that the moment is the cross product of the force and the distance between the point of contact of the force and the point about which moment needs to be calculated. Thus forming the distance vector and then crossing it with the force will give us the answer. Remember force also needs to be in the vector form for doing the cross product.

Test: Moment Of A Force - 2 - Question 20

Determine the magnitude of the resultant moment caused by the forces.

Detailed Solution for Test: Moment Of A Force - 2 - Question 20

As we know that the moment is the cross product of the force and the distance between the point of contact of the force and the point about which moment needs to be calculated. Here distance r1 =5j m and r2 = 4i + 5j – 2k m. Thus doing the cross product will give the answer.

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