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A flexible rope is in the shape of a sem...

A flexible rope is in the shape of a semicircle ACB with its centre at O. Ends A and B are fixed. Radius of the semicircle is R. The midpoint C is pulled so that the rope acquires V shape as shown in the figure.

(a) Make a guess whether the centre of mass of the rope moves closer to O or moves away from it when it is pulled?
(b) Calculate the shift in position of the centre of mass of the rope.

Text Solution

Verified by Experts

The correct Answer is:
(a) Closer to O
(b) `0.03 R`
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