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

Q1:

A body weighing 8 N rests on a rough horizontal plane such that the coefficient of static friction between the body and the plane is 1 4 . A force, whose line of action makes an angle of π to the horizontal where c o s π = 5 1 3 , is acting on the body causing it to be on the point of moving. Given that π is the resultant of the force of friction and the normal reaction force, find the magnitude of π and the angle π it makes to the vertical stating your answer to the nearest minute.

Q2:

A body weighing 178 N rests on a rough horizontal plane such that the coefficient of static friction between the body and the plane is 4 5 . A force, whose line of action makes an angle of π to the horizontal where c o s π = 4 5 , is acting on the body causing it to be on the point of moving. Given that π is the resultant of the force of friction and the normal reaction force, find the magnitude of π and the angle π it makes to the vertical stating your answer to the nearest minute.

Q3:

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 6 0 β , 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.

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