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 1.2 ms. (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) 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) Determine the distance that 4 travels from the instant that B hits the ground until 4 comes to instantaneous rest.
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 1.2 ms. (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) 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) Determine the distance that 4 travels from the instant that B hits the ground until 4 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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Need help with C and D, thanks.
Transcribed Image Text: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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