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