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Question

One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. If S is the area of cross section of the wire, the stress in the wire at a height 3L/4 from its lower end is


Your Answer
A
W1/S
Your Answer
B
(W1+W4)S
Correct Answer
C
(W1+3W4)S
Your Answer
D
(W1+W)S

Solution

The correct option is C (W1+3W4)S
Force at a height (3L/4) from its lower end,
F= Weight suspended + Weight of 34 of the chain
Since the wire is uniform, therefore weight of the lower portion, WL=3L4×WL=3W4
Force, F=W1+3W4
Stress, σ=FS=W1+3W4S

Hence, the correct answer is option (c)

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