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A steel wire of radius r is stretched wi...

A steel wire of radius r is stretched without tension along a straight line with its ends fixed at A and B (figure). The wire is pulled into the shape ACB. Assume that d is very small compared to length of the wire. Young’s modulus of steel is Y.
(a) What is the tension (T) in the wire?
(b) Determine the pulling force F. Is F larger than T?

Text Solution

Verified by Experts

The correct Answer is:
(a) `T = Y pi r^(2) (d^(2)//2l^(2))` , (b) `2T (d//l)` where T is given in answer (a). No F is much smaller.
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