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 P is parallel to a line of greatestslope of the plane. Particle B hangs freely below Pat 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.(a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms2.(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.After B hits the ground, A contimues to travel up the plane before coming to instantaneous restbefore it reaches P.(d) Determine the distance that 4 travels from the instant that B hits the ground until 4 comes toinstantaneous rest.

Answered: Image /qna-images/answer/e6fdc451-189f-4963-989d-e61ad0f92e49.jpg

(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) Detemine the value of u. After B hits the ground, A contimues to travel up the plane before coming to instantaneous rest before it reaches P. (d) Detemine the distance that A travels from the instant that B hits the ground until A comes to instantaneous rest.

(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) Detemine the value of u. After B hits the ground, A contimues to travel up the plane before coming to instantaneous rest before it reaches P. (d) Detemine the distance that A travels from the instant that B hits the ground until A comes to instantaneous rest.

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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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

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 Pat a distance 1.5m above horizontal ground, as
shown in the diagram.
The coefficient of friction between A and the plane is u. 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 ms2.
(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.
After B hits the ground, A contimues to travel up the plane before coming to instantaneous rest
before it reaches P.
(d) Determine the distance that 4 travels from the instant that B hits the ground until 4 comes to
instantaneous rest.

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