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String is wrapped on a cylinder and free...

String is wrapped on a cylinder and free end of the string is pulled by a man as shown in figure. Horizontal surface is sufficiently rough. Person pulls `l_(1)` length of string and centre of the cylinder is found to move by a distance `l_2`. Calculate `l_(1)//l_(2)`.

Text Solution

Verified by Experts

The correct Answer is:
2
String is passing over the top point. When cylinder performs pure rolling then we know that speed of the top point is two times the speed of the centre of cylinder. Hence there will be same ratio for the distances involved
`(l_(1))/(l_(2))=2`
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