A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance L = 2 m from the cylinder holds one end of the string and p

Question

A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance $L = 2 m$ from the cylinder holds one end of the string and pulls the cylinder toward him. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is

Answer:

4.00

Solution:

Suppose radius r, When cylinder moves a distance L swpts a angle L/r. So. extra string unwound $= \frac{L}{r} = L$ So total pulled is $L + L = 2 L$ hence $L = 2 m$ So $2 L = 4$

TestHub · Accepted Answer

Suppose radius r, When cylinder moves a distance L swpts a angle L/r. So. extra string unwound = r L ​ = L So total pulled is L + L = 2 L hence L = 2 m So 2 L = 4

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