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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

Three objects are connected by light strings as shown in Figure P4.78. The string connecting the 4.00-kg object and the 5.00-kg object passes over a light frictionless pulley. Determine (a) the acceleration of each object and (b) the tension in the two strings.

images

Figure P4.78

(a)

To determine
The acceleration of the masses.

Explanation

Given Info: The masses are m1=5.00kg , m2=4.00kg and m3=3.00kg .

T1m1g=m1a (I)

T2T1+m2g=m2a (II)

m3gT2=m3a (III)

  • T1 , T2 are the tension in the cords.
  •  a is the acceleration of the masses.
  • g is the acceleration due to gravity.

From Equations (I), (II) and (III),

a=g(m1+m2+m3m1+m2+m3) (IV)

Substitute 5

(b)

To determine
The tension on the two cords.

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