B1.5mOne end of a light inextensible string is attached to a particle A of mass 2kg. The other end of thestring is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough planeinclined at e to the horizontal, where cos e =. The string is taut and passes over a small smoothpulley P at the top of the plane. The part of the string from A to Pis parallel to a line of greatestslope of the plane. Particle B hangs freely below P at a distance 1.5m above horizontal ground, asshown in the diagram.The coefficient of friction between A and the plane is u. The system is released from rest and in thesubsequent motion B hits the ground before A reaches P. The speed of B at the instant that it hitsthe ground is 1.2ms¬1.(a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms(b) For the motion before B hits the ground, show that the tension in the string is 23.3 N.(c) Determine the value of u.After B hits the ground, A continues to travel up the plane before coming to instantaneous restbefore it reaches P.(d) Determine the distance that A travels from the instant that B hits the ground until A comes toinstantaneous rest.

Free Body diagram is known as follows: Mass of A = m = 2 kg Mass of B = M = 2.5 kg cosθ=45sinθ=35…

B 1.5m One end of a light inextensible string is attached to a particle A of mass 2kg. The other end of the string is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough plane inclined at e to the horizontal, where cos e =. The string is taut and passes over a small smooth pulley P at the top of the plane. The part of the string from A to P is parallel to a line of greatest slope of the plane. Particle B hangs freely below P at a distance 1.5 m above horizontal ground, as shown in the diagram. The coefficient of friction between A and the plane is µ. The system is released from rest and in the subsequent motion B hits the ground before A reaches P. The speed of B at the instant that it hits the ground is 1.2ms¬. (a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms? (b) For the motion before B hits the ground, show that the tension in the string is 23.3N. (c) Determine the value of u.

B 1.5m One end of a light inextensible string is attached to a particle A of mass 2kg. The other end of the string is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough plane inclined at e to the horizontal, where cos e =. The string is taut and passes over a small smooth pulley P at the top of the plane. The part of the string from A to P is parallel to a line of greatest slope of the plane. Particle B hangs freely below P at a distance 1.5 m above horizontal ground, as shown in the diagram. The coefficient of friction between A and the plane is µ. The system is released from rest and in the subsequent motion B hits the ground before A reaches P. The speed of B at the instant that it hits the ground is 1.2ms¬. (a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms? (b) For the motion before B hits the ground, show that the tension in the string is 23.3N. (c) Determine the value of u.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter13: State Of Matter

Section: Chapter Questions

Problem 114A

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