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Graph of frictional force :-

(i) From the graph of frictional force versus applied force if static and kinetic frictional forces are represented by fs & fk then.

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Important Questions on Friction

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Frictional forces act in a direction
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A block placed on the horizontal is pushed momentarily with initial velocity v. The coefficient of friction between the block and surface is μ. Block will come to rest after a time t equal to (g= acceleration due to gravity)
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Which of the following surface in contact has maximum coefficient of friction μ?
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Which one of the following statements is incorrect?
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A body of mass 2 kg is kept by pressing to a vertical wall by a force of 100 N. The friction between wall and body is 0.3. Then the frictional force is equal to
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A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms-1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is :[use g=9.8 ms-2]
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A thin motorcyclist rides with sufficient speed in the vertical plane inside a hollow sphere of diameter 20 m to prevent himself from sliding down. If the coefficient of friction is 0.5, then what is the minimum speed of the motor cyclist? (use g=10 m s-2)
HARD
In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. The coefficient of friction between the wall and the ladder is μ1 and that between the floor and the ladder is μ2 . The normal reaction of the wall on the ladder is N1 and that of the floor is N2. If the ladder is about to slip, then

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A block is released from rest on a 45° smooth incline and slide a distance d. The time taken to slide the same distance is n times as much to slide on a 45° rough incline than on the smooth incline. The coefficients of friction for the rough incline is
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A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8 . If the frictional force on the block is 10 N, the mass of the block is g=10 m s-2
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Which of the following is a self adjusting force?
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Given in the figure are two blocks A and B of weight 20 N and 100 N, respectively. These are being pressed against a wall by a force F and kept in equilibrium as shown. If the coefficient of friction between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force applied by the wall on block B is:
MEDIUM
A car is negotiating a curved road of radius R . The road is banked at an angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is:
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Friction can be reduced by changing from
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A block of mass m is placed on a surface with a vertical cross section given by y=x36. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is 
HARD
A block of mass 100 kg attached to a massless rope and the second end of the rope is pulled up by 2 men along a rough inclined plane of coefficient of friction 0.2 inclined at 37° with the horizontal. If they exert their maximum force for the block to just start moving up, the force exerted by each of them is, (Acceleration due to gravity =10 m s-2, tan 37°0.75)
HARD
Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm and the right one at 90.00 cm. When you attempt to move both the fingers slowly towards the center, initially only the left finger slips with respect to the scale and the right finger does not. After some distance, the left finger stops and the right one starts slipping. Then the right finger stops at a distance xR from the center (50.00 cm) of the scale and the left one starts slipping again. This happens because of the difference in the frictional forces on the two fingers. If the coefficients of static and dynamic friction between the fingers and the scale are 0.40 and 0.32, respectively, the value of xR (in cm) is___________.
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Meena applies the front brakes while riding on her bicycle along a flat road. The force that slows her bicycle is provided by the
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A block A of mass 4 kg is placed on another block B of mass 5 kg, and the block B rests on a smooth horizontal table. If the minimum force that can be applied on A so that both the blocks move together is 12 N, the maximum force that can be applied on B for the blocks to move together will be :
MEDIUM
A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g=10 m s-2)
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