A body P (shown in red) of mass m is at the base of a fixed rough inclined plane of inclination α to the horizontal and elevation h. A light inelastic string is attached to P and passes over a smooth pulley (shown in yellow) at the top of the plane where it is attached to a body Q (shown in white) of mass M initially adjacent to the pulley and able to move vertically downwards. Initially, the system is a rest, the body Q is next to the pulley at height h above the horizontal, and the plane has friction coefficient µ. The diagram below shows a snapshot of the system shortly after the body Q is released.Copy the diagram above, label the forces acting and formulate Newton’s equations of motion for the system. (b) Show that M > m(µ cos α + sin α). (c) Assuming the condition in part (b) above is satisfied, find in terms of m, M, µ, h, g and α, an expression for the speed of P when Q is level with the initial position of P. 3. A body P (shown in red) of mass m is at the base of a fixed rough inclined plane of inclinationa to the horizontal and elevation h. A light inelastic string is attached to P and passes overa smooth pulley (shown in yellow) at the top of the plane where it is attached to a bodyQ (shown in white) of mass M initially adjacent to the pulley and able to move verticallydownwards. Initially, the system is a rest, the body Q is next to the pulley at height h abovethe horizontal, and the plane has friction coefficient u. The diagram below shows a snapshotof the system shortly after the body Q is released.P(a) Copy the diagram above, label the forces acting and formulate Newton's equations ofmotion for the system.(b) Show thatM > m(u cos a + sin a).(c) Assuming the condition in part (b) above is satisfied, find in terms of m, M, µ, h, g anda, an expression for the speed of P when Q is level with the initial position of P.

Given data: The mass of body P is m, which is at the base of a fixed rough inclined plane of…

Answered: 3. A body P (shown in red) of mass m is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A body P (shown in red) of mass m is at the base of a fixed rough inclined plane of inclination α to the horizontal and elevation h. A light inelastic string is attached to P and passes over a smooth pulley (shown in yellow) at the top of the plane where it is attached to a body Q (shown in white) of mass M initially adjacent to the pulley and able to move vertically downwards. Initially, the system is a rest, the body Q is next to the pulley at height h above the horizontal, and the plane has friction coefficient µ. The diagram below shows a snapshot of the system shortly after the body Q is released.

Copy the diagram above, label the forces acting and formulate Newton’s equations of motion for the system. (b) Show that M > m(µ cos α + sin α). (c) Assuming the condition in part (b) above is satisfied, find in terms of m, M, µ, h, g and α, an expression for the speed of P when Q is level with the initial position of P.