MEDIUM
AS and A Level
IMPORTANT
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A book of mass 4 kg is at rest on a rough slope at angle 14° to the horizontal. Find the magnitude of the total contact force in case the book is pulled down the slope by a force of 5 N parallel to the line of the greatest slope.

Important Questions on Friction

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 4

A book of mass 4 kg is at rest on a rough slope at angle 14° to the horizontal. Find the magnitude of the total contact force in case the book is pulled up the slope by a force of 15 N at 9° above the line of greatest slope, as shown in the diagram.

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EASY
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 5
A tin of mass 0.5 kg is on a rough horizontal table with coefficient of friction 0.3. Find the largest horizontal force that can be exerted on the tin before the tin starts to move.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 6

A block of wood of mass 3 kg is on a rough slope, which is at an angle of 25° to the horizontal. The coefficient of friction between the block and the slope is 0.4. It is held in place by a force, P, going up the line of greatest slope.

Find the smallest possible size of P to prevent the block sliding down the slope.

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 6

A block of wood of mass 3 kg is on a rough slope, which is at an angle of 25° to the horizontal. The coefficient of friction between the block and the slope is 0.4. It is held in place by a force, P, going up the line of greatest slope.

Given that the block remains in equilibrium, find the largest possible size of P.

HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 7
A chair of mass 6 kg is at rest on a rough horizontal floor with coefficient of friction 0.35. It is pulled horizontally by a force of 25 N. A boy pushes down on the chair so that the chair is on the point of slipping but remains at rest. Find the force that the boy exerts on the chair.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 8
Two men are trying to drag a bin of mass 100 kg up a rough slope at an angle 20° to the horizontal. The coefficient of friction is 0.25. One man pulls up the slope with a force of 400 N. The other tries to lift the bin perpendicularly to the slope, providing a force such that the bin is on the point of slipping up the slope. Find the force exerted by the second man.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 9
A sledge of mass 200 kg is being pulled by a woman along rough horizontal ground. She exerts a force of 500 N at 18° above the horizontal and the sledge is on the point of slipping. Find the coefficient of friction.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Mechanics Course Book>Chapter 4 - Friction>EXERCISE 4A>Q 10

A gardener is trying to move a heavy roller of mass 150 kg along rough ground at an angle of 5° to the horizontal. He exerts a force of 200 N down the slope and parallel to it and the roller is on the point of slipping.

Find the coefficient of friction.