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In this lesson, we will learn how to solve problems on a particle moving on a rough inclined plane by resolving the forces parallel and perpendicular to the plane.

Q1:

A car of mass π tons was initially at rest on a hill inclined at an angle π to the horizontal, where s i n π = 1 2 . After 100 seconds, its velocity was 21 m/s. Calculate the resistance per ton of the carβs mass. Take π = 9 . 8 / m s 2 .

Q2:

A body was placed on the top of a rough inclined plane of length 259 cm and height 84 cm. The body started sliding down the plane. Given that the coefficient of friction was 0.29, find the acceleration of the body. Take π = 9 . 8 / m s 2 .

Q3:

A train of mass 270 metric tons is accelerating along a horizontal track at 4.4 cm/s^{2}. Its engine produces a driving force of 2β080 kg-wt. If the train starts to ascend a 1 in 490 incline, find the acceleration of the train given that the resistance does NOT change, and the acceleration due to gravity is .

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