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In this lesson, we will learn how to solve problems involving moving a particle on a smooth inclined plane.

Q1:

A body is held at rest on a smooth plane which is inclined to the horizontal at an angle of π . The body is released and slides down the plane under the action of its weight. What is the acceleration of the body in terms of the gravitational acceleration π ?

Q2:

A body of mass 16 kg was placed on a smooth plane that was inclined at 4 5 β to the horizontal. A horizontal force of 48 kg-wt was acting on the body towards the plane. Given that line of action of the force, the body, and the line of greatest slope all lie in the same vertical plane, determine the acceleration of the body. Consider the acceleration due to gravity to be π = 9 . 8 / m s 2 .

Q3:

A body of mass 9 kg is released from rest on a smooth inclined plane. It moves a distance of 25.2 m in the first 4 seconds of its motion. If the body is projected upwards along a line of greatest slope on the same plane, with an initial velocity of 12.6 m/s, how far does it travel before coming to instantaneous rest? Take π = 9 . 8 / m s 2 .

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