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Chapter 1: Q2E (page 160)

In Fig. E5.2 each of the suspended blocks has weight w. The pulleys are frictionless, and the ropes have negligible weight. In each case, draw a free-body diagram and calculate the tension T in the rope in terms of w.

Short Answer

Expert verified

(a) The tension in the rope is w .

(b) The tension in the chain is w .

(c) The tension in the rope is w .

Step by step solution

01

Tension in rope

Given Data:

  • The weight of each block for all cases isw.

The tension in each rope for all the cases are same because the weight attached to each rope is the same.

02

Determine the tension in the rope (a)

The FBD of the block in case (a) is given below:

The equation for the vertical equilibrium of the weight is given as:

T-w=0T=0

Here is the tension in the rope andwis the weight attached to the rope.

Therefore, the tension in the rope isw.

(b)

The FBD of the block in case (b) is given below


The equation for the vertical equilibrium of the weight is given as:

T-w=0T=0

Therefore, the tension in the rope is w.

(c)

The FBD of the block is given below


The equation for the vertical equilibrium of the weight is given as:

T-w=0T=0

Therefore, the tension in the rope isw.

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