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In this lesson, we will learn how to solve problems on the equilibrium of a body on a rough inclined plane.

Q1:

A body weighing 422.9 N rests on a rough plane inclined at an angle of π to the horizontal where t a n π = 3 4 . The coefficient of friction between the body and the plane is 1 2 . Calculate the minimum horizontal force required to cause the body to be on the point of moving up the plane.

Q2:

A body weighing 92 N rests on a rough plane inclined at an angle of 3 0 β to the horizontal. The coefficient of friction between the body and the place is β 3 5 . A force of 60 N is acting on the body up the line of greatest slope of the plane causing it to be in a state of equilibrium. Determine the magnitude of the friction stating whether it is acting up or down the plane, and state whether the body is on the point of moving or not.

Q3:

A body weighing 73 N rests on a rough plane inclined to the horizontal by an angle whose tangent is . A force acts on the body holding it in limiting equilibrium on the point of sliding down the slope. Given that the force can either be applied horizontally or up the line of greatest slope of the plane, find the magnitude of the force and the coefficient of friction .

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