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Chapter Test: Friction - 1 - JEE MCQ


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30 Questions MCQ Test - Chapter Test: Friction - 1

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Chapter Test: Friction - 1 - Question 1

A block A is placed over a long rough plank B  of same mass as shown in figure. The plank is placed over a smooth horizontal surface. At time t = 0, block A is given a velocity v0 in horizontal direction. Let v1 and v2 be the velocities of A and B at time t. Then choose the correct graph  between v1 or v2 and t :


Detailed Solution for Chapter Test: Friction - 1 - Question 1


Chapter Test: Friction - 1 - Question 2

The rear side of a truck is open and a box of mass 20kg is placed on the truck 4 meters away from the open end. Coefficent of friction between truck and block is 0.15. The truck starts from rest with an acceleration of 2m/sec2 on a straight road. The box will fall off the truck when truck is at a distance from the starting point equal to: (g = 10 m/s2)

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Chapter Test: Friction - 1 - Question 3

Two blocks, 4 kg and 2 kg are sliding down an incline plane as shown in figure. The acceleration of 2 kg block is -



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Chapter Test: Friction - 1 - Question 4

Two blocks, 4 kg and 2 kg are sliding down an incline plane as shown in figure. The acceleration of 2 kg block is -


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Chapter Test: Friction - 1 - Question 5

A chain of mass ‘M’ and length ‘L’ is put on a rough horizontal surface and is pulled by constant horizontal force ‘F’ as shown in figure.

Velocity of chain as it turns completely: (Coefficient of friction = μ)


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Chapter Test: Friction - 1 - Question 6

Detailed Solution for Chapter Test: Friction - 1 - Question 6


Chapter Test: Friction - 1 - Question 7

The conveyor belt is moving at 4 m/s. The coefficient of static friciton between the conveyor belt and the 10 kg package B is μs = 0.2. Determine the shortest time in which the belt can be stopped so that the package does not slide on the belt.


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Chapter Test: Friction - 1 - Question 8

A block A is placed over a long rough plank B of same mass as shown in figure. The plank is placed over a smooth horizontal surface. At time t = 0, block A is given a velocity v0 in horizontal direction. Let v1 and v2 be the velocities of A and B at time t. Then choose the correct graph between v1 or v2 and t :


Detailed Solution for Chapter Test: Friction - 1 - Question 8


Chapter Test: Friction - 1 - Question 9


Detailed Solution for Chapter Test: Friction - 1 - Question 9

Chapter Test: Friction - 1 - Question 10


Detailed Solution for Chapter Test: Friction - 1 - Question 10

Block A moves in horizontal direction only due to friction.

Chapter Test: Friction - 1 - Question 11


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Chapter Test: Friction - 1 - Question 12

A chain of mass ‘M’ and length ‘L’ is put on a rough horizontal surface and is pulled by constant horizontal force ‘F’ as shown in figure. Velocity of chain as it turns completely: (Coefficient of friction = μ)


Detailed Solution for Chapter Test: Friction - 1 - Question 12

Chapter Test: Friction - 1 - Question 13

A block A of mass 2 kg rests on another block B of mass 8 kg which rests on a horizontal floor. The coefficient of friction between A and B is 0.2 while between B and floor is 0.5. When a horizontal force 25 N is applied on B, the frictional force acting between A and B is

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Chapter Test: Friction - 1 - Question 14

In the figure, mA = 2 kg and mB = 4 kg For what minimum value of F, A starts slipping over B: (g = 10 m/s2)



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Chapter Test: Friction - 1 - Question 15

A particle of mass m is released from point A on smooth fixed circular track as shown. If the particle is released from rest at t = 0, then
variation of normal reaction N with (θ) angular displacement from initial position is -



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Chapter Test: Friction - 1 - Question 16


Detailed Solution for Chapter Test: Friction - 1 - Question 16


Chapter Test: Friction - 1 - Question 17

In the arrangement shown, the pulleys are fixed and ideal, the strings are light, m1 > m2, and S is a spring balance which is itself massless. The reading of S (in units of mass) is -


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Chapter Test: Friction - 1 - Question 18



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Chapter Test: Friction - 1 - Question 19

The block A in Figure weighs 100 N. The coefficient of static friction between the block and the table is 0.25. The weight of the block B is maximum for the system to be in equilibrium. The value of T1 is


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Chapter Test: Friction - 1 - Question 20

A block is resting on a horizontal plate in the XY plane and co-efficient of friction between block and the plate is 'μ'. The plate begins to move with velocity u = bt2 in X-direction. At what time will the block starts sliding from plate -


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Chapter Test: Friction - 1 - Question 21

A block of mass m is placed at rest on an inclined plane of inclination θ to the horizontal. If the coefficient of friction between the block
and the plane is μ, then the total force the inclined plane exerts on the block is-

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Chapter Test: Friction - 1 - Question 22

A piece of ice slides down a 45° incline in twice the time it takes to slide down a frictionless 45° incline. What is the coefficient of friction
between the ice and incline ?

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Chapter Test: Friction - 1 - Question 23

Starting from rest, a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of
friction. The coefficient of friction between the body and the inclined plane is

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Chapter Test: Friction - 1 - Question 24

If the lower block is held fixed and force is applied to P, minimum horizontal force required to slide P on Q is 12 N. Now if Q is free to move on frictionless surface and force is applied to Q, then the minimum force F required to slide P on Q is –


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Chapter Test: Friction - 1 - Question 25

Two bodies of equal masses (M) are connected by a string and are kept on rough horizontal surface as shown in the figure. The coefficient of friction between the blocks and the surface is µ. If 0 < F1 – F2 < 2µMg, then choose the correct statement .



Detailed Solution for Chapter Test: Friction - 1 - Question 25

Conceptual

Chapter Test: Friction - 1 - Question 26

A body rests on an inclined plane and the angle of inclination is varied till the body just begins to slide down. The coefficient of friction is showimage. What is the angle of inclination?

Detailed Solution for Chapter Test: Friction - 1 - Question 26

At the time when the block just starts to move, we get that net force acting upon it is 0, thus we get, f - mg.sin a = 0
Where f is friction force and a is angle of incline.
We also know that f = 1√3 x N
= 1√3 x mg.cos a
Thus we get 1√3 x mg.cos a = mg.sin a
Thus we get tan a = 1√3
And a = 30

Chapter Test: Friction - 1 - Question 27

A block of mass 2kg rests on a plane inclined at an angle of 30with the horizontal. The coefficient of friction between the block and the surface is 0.7. The frictional force acting on the block is

Detailed Solution for Chapter Test: Friction - 1 - Question 27

Mass of the block = 2 kg

Weight of the block = mg = 2 × 9.8 = 19.6 N

The component of the weight along normal = 19.6 Cos 30° = 16.97 N

Hence, the normal force (N) = 16. 97 N

Now, the component of the weight along the inclined plane = 19.6 Sin 30°

Along the inclined plane = 9.8 N

Now, the friction = μ N = 0.7 × 16.97 = 11.87 N

Since, 9.8 N is less than the maximum value of the friction (11.87 N)

Hence, the frictional force = 9.8 N

Chapter Test: Friction - 1 - Question 28

A particle moves in a circle of radius 0.30m with a constant speed of 6m/s. Its centripetal acceleration is

Detailed Solution for Chapter Test: Friction - 1 - Question 28

We know that centripetal acceleration, a = v x v /r
Here v = 6m/s and r = 0.3m
Thus a = 36 / 0.3 m/s2
= 120 m/s2

Chapter Test: Friction - 1 - Question 29

When a wheel rolls on a level road, the direction of frictional force at the point of contact of wheel and ground is:

Detailed Solution for Chapter Test: Friction - 1 - Question 29

Frictional force is the opposing force which plays between two surfaces and it destroys the relative motion between them. Frictional force is a non-conservative force. The force produced by two surfaces that contact and slide against each other, that force is called the frictional force. These forces are affected by the nature of the surface and amount of force acting on them.

In case of a bicycle, the front wheel of the bicycle is connected to a rod passing through its centre. The force acting on the wheel about its central axis by the force coming from the rest of the bicycle is zero. Front wheel obtains linear velocity by pedalling but it cannot rotate it.

Wheel or ball can also be rolled by pushing on it. The frictional force prevents the wheel from sliding forward at the point of contact. Here, the frictional force prevents the wheel from sliding forward and it is in the opposite direction.

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So, in the case of the wheel, the point P which is in contact with the ground tries to go backward due to rotation. Frictional force will oppose this motion. Hence it will move forward.
Hence the direction of frictional force at the point P of the wheel is in forward direction.
Note: Frictional force opposes the motion. Here static friction holds a wheel or a ball on the surface. Frictional force is equal and opposite in direction to the applied force parallel to the contacting surfaces. The resistance due to the rolling body on a surface is called rolling friction. Torque is a force that acts on a body that is undergoing rotation.

Chapter Test: Friction - 1 - Question 30

A force of 20 N is applied on a body of mass 4 kg kept on a rough surface having coefficient of friction 0.1. Find acceleration of body. Take g = 10 m/s2

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