# Lesson Worksheet: The Equilibrium of a Body on a Rough Horizontal Plane Mathematics

In this worksheet, we will practice solving problems involving the equilibrium of a body on a rough horizontal plane.

Q1:

Given that the coefficient of static friction between a body and a plane is , what is the angle of friction? Round your answer to the nearest minute if necessary.

• A
• B
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• D

Q2:

A body weighing 8.5 newtons rests on a rough horizontal plane. A horizontal force is acting on it causing it to be on the point of moving. Given that the force of the friction was 3.4 newtons, find the coefficient of static friction.

Q3:

A body weighing 5 N rests on a rough horizontal plane. The coefficient of friction between the body and the plane is . Given that is the magnitude of the friction force measured in newtons, express the range of its possible values as an interval.

• A
• B
• C
• D
• E

Q4:

A body weighting 68 kg-wt rests on a rough horizontal plane. When a horizontal force of 59.5 kg-wt acts on it, it is on the point of moving. Determine the coefficient of friction between the body and the plane.

• A
• B
• C
• D

Q5:

A body is resting on a rough horizontal plane. The coefficient of friction between the body and the plane is 0.2 and the limiting friction force that is acting on the body is 80 N. Given that is the resultant of the force of friction and the normal reaction force, find the magnitude of .

• A80 N
• B N
• C400 N
• D N

Q6:

A body weighing 25.5 N rests on a rough horizontal plane. A horizontal force acts on the body causing it to be on the point of moving. Given that the coefficient of friction between the body and the plane is , determine magnitude of the force.

Q7:

A body of weight 45 N rests on a rough horizontal plane. If a horizontal force of 11 N acted on the body, it would be on the point of moving. Instead, a force, whose line of action was inclined to the horizontal at an angle of , was acting on the body. Given that the body was on the point of moving, find the magnitude of this force rounding your answer to two decimal places if required.

Q8:

A body weighing 47 N rests on a rough horizontal plane. Two horizontal forces of 1 N and 4 N act on the body causing it to be on the point of moving. Given that the angle between the lines of action of the two forces is , find the coefficient of static friction between the body and the plane.

• A
• B
• C
• D

Q9:

The figure shows a body of mass 30 kg being pushed against a rough vertical wall by a horizontal force . Given that the coefficient of static friction between the body and the wall is , determine the minimal horizontal force that will cause the body to be in equilibrium. Q10:

A body of weight 79 N rests on a rough horizontal table. It is attached by a light inextensible string passing over a smooth pulley fixed at the edge of the table to a weight of 41 N hanging freely vertically below the pulley. Under these conditions the system is on the point of moving. The body is then attached by a second inextensible string passing over a second pulley fixed at the opposite end of the table to a second weight of N hanging freely vertically below the pulley. Determine the weight which will cause the body to be on the point of moving.

This lesson includes 60 additional questions and 279 additional question variations for subscribers.