Question

Two particles P and Q, of masses 0.4 kg and 0.7 kg respectively, are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley which is attached to the edge of a rough plane. The coefficient of friction between P and the plane is 0.5. The plane is inclined at an angle ? to the horizontal, where tan ? = 3/4. Particle P lies on the plane and particle Q hangs vertically. The string between P and the pulley is parallel to a line of greatest slope of the plane (see diagram). A force of magnitude X N, acting directly down the plane, is applied to P. (i) Show that the greatest value of X for which P remains stationary is 6.2. [4] (ii) Given instead that X = 0.8, find the acceleration of P. [5]

          Two particles P and Q, of masses 0.4 kg and 0.7 kg respectively, are attached to the ends of a light
inextensible string. The string passes over a fixed smooth pulley which is attached to the edge of a
rough plane. The coefficient of friction between P and the plane is 0.5. The plane is inclined at an
angle ? to the horizontal, where tan ? = 3/4. Particle P lies on the plane and particle Q hangs vertically.
The string between P and the pulley is parallel to a line of greatest slope of the plane (see diagram).
A force of magnitude X N, acting directly down the plane, is applied to P.

(i) Show that the greatest value of X for which P remains stationary is 6.2. [4]

(ii) Given instead that X = 0.8, find the acceleration of P. [5]

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Two particles P and Q, of masses 0.4 kg and 0.7 kg respectively, are attached to the ends of a light
inextensible string. The string passes over a fixed smooth pulley which is attached to the edge of a
rough plane. The coefficient of friction between P and the plane is 0.5. The plane is inclined at an
angle ? to the horizontal, where tan ? = 3/4. Particle P lies on the plane and particle Q hangs vertically.
The string between P and the pulley is parallel to a line of greatest slope of the plane (see diagram).
A force of magnitude X N, acting directly down the plane, is applied to P.

(i) Show that the greatest value of X for which P remains stationary is 6.2. [4]

(ii) Given instead that X = 0.8, find the acceleration of P. [5]

Added by Susan G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sam Stansfield

07/16/2024

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