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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An Atwood’s machine (Fig. 4.38) consists of two masses: one of mass 3.00 kg and the other of mass 8.00 kg. When released from rest, what is the acceleration of the system?

To determine
The acceleration of the system.

Explanation

Given Info: Mass ( m1 ) is 3.00 kg and Mass ( m2 ) is 8.00 kg.

The free body diagram is given below.

From the diagram,

Tm1g=m1a (I)

Tm2g=m2a (II)

  • T is the tension on the rope.
  • m1 and m2 are the masses.
  • a is the acceleration.
  • g is the acceleration due to gravity.

Subtract Equation (II) from (I).

m1g+m2g=a(m1+m2)

On Re-arranging,

a=g(m2m1m1+m2)

Substitute 3

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