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A particle of mass m kg lies on a smooth plane inclined at an angle of 30° to the horizontal. The particle is attached to a light inextensible string which passes over a smooth pulley fixed at the top of the plane. Another particle of mass 3m kg is attached to the other end of the string and hangs freely. The system is released from rest with the string taut and the hanging part vertical. Find, in terms of m and g, (a) (b) (i) the acceleration of the system and the tension in the string, the magnitude of the reaction force exerted by the string on the pulley.

A particle of mass m kg lies on a smooth plane inclined at an angle of 30° to the horizontal. The particle is attached to a light inextensible string which passes over a smooth pulley fixed at the top of the plane. Another particle of mass 3m kg is attached to the other end of the string and hangs freely. The system is released from rest with the string taut and the hanging part vertical. Find, in terms of m and g, (a) (b) (i) the acceleration of the system and the tension in the string, the magnitude of the reaction force exerted by the string on the pulley.

College Physics
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 particle of mass m kg lies on a smooth plane inclined at an angle of 30° to the horizontal. The particle is attached to a light inextensible string which passes over a smooth pulley fixed at the top of the plane. Another particle of mass 3m kg is attached to the other end of the string and hangs freely. The system is released from rest with the string taut and the hanging part vertical. Find, in terms of m and g, (a) (b) 3. (i) the acceleration of the system and the tension in the string, the magnitude of the reaction force exerted by the string on the pulley. One end of a light inextensible string is fixed at a point A and a particle of mass m kg is attached to the other end B. When the particle moves in a horizontal circle of radius r below A with constant speed v m s', the string is inclined at an angle 0 to the downward vertical. Show that v = gr tan 0. (ii)
Transcribed Image Text:A particle of mass m kg lies on a smooth plane inclined at an angle of 30° to the horizontal. The particle is attached to a light inextensible string which passes over a smooth pulley fixed at the top of the plane. Another particle of mass 3m kg is attached to the other end of the string and hangs freely. The system is released from rest with the string taut and the hanging part vertical. Find, in terms of m and g, (a) (b) 3. (i) the acceleration of the system and the tension in the string, the magnitude of the reaction force exerted by the string on the pulley. One end of a light inextensible string is fixed at a point A and a particle of mass m kg is attached to the other end B. When the particle moves in a horizontal circle of radius r below A with constant speed v m s', the string is inclined at an angle 0 to the downward vertical. Show that v = gr tan 0. (ii)
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