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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

Two blocks each of mass m = 3.50 kg are fastened to the top of an elevator as in Figure P4.56. (a) If the elevator has an upward acceleration a = 1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before the upper string breaks?

images

(a)

To determine
The tension in the strings.

Explanation

Given info: The mass of the two blocks is 3.50 kg. Acceleration of the elevator is 1.60ms2 .

The free body diagrams are given below.

From the diagrams,

T2mg=ma (I)

T1T2mg=ma (II)

  • T1 and T2 are the tensions on the upper and lower strings.
  • m is the mass of the blocks.
  • g is the acceleration due to gravity.
  • a is the acceleration of the elevator.

On Re-arranging Equation (I),

T2=m(a+g)

Substitute 3.50 kg for m, 9.8ms2 for g and 1.60ms2 for a to get T2 .

T2=(3.50kg)(1.60ms2+9

(b)

To determine
The maximum acceleration before the upper string breaks.

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