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.

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)...
icon
Related questions
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 Pis parallel to a line of greatest
slope of the plane. Particle B hangs freely below P at 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¬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 rest
before it reaches P.
(d) Determine the distance that A travels from the instant that B hits the ground until A comes to
instantaneous rest.
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 Pis parallel to a line of greatest slope of the plane. Particle B hangs freely below P at 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¬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 rest before it reaches P. (d) Determine the distance that A travels from the instant that B hits the ground until A comes to instantaneous rest.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Normal Modes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON