Answered: A block of mass m1 =3 kg is on a table…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.64P

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Question

A block of mass m₁ =3 kg is on a table and attached to a block of mass m₂ =4 kg m₂ =4 kg by a mass less string. The coefficient of friction is 0.28 between the table and m₁. The system is released from rest. After m₂ falls 1.5 m,1.5 m, what is the speed of m₂?

Expert Solution

Step 1

Draw the free-body diagram of the mass m₁.

Step 2

The block of mass m₁ doesn’t move along the vertical direction. Thus, the net force along the vertical direction will be zero. Therefore,

The formula for the frictional force acting on the mass m₁ is:

Step 3

Apply Newton’s second law of motion along the horizontal direction.

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