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Question

A light string is warped round a cylindrical log of wood which is placed on a horizontal surface with its axis vertical an it is pulled with a constant force F as shown in the figure. (Friction is absent everywhere)
1029745_e3d3e36387b6466a9c233cafc6ecc610.png

A
Tension T in the string increases with increase in θ
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B
Tension T in the string decreases with increase in θ
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C
Tension T>F if θ>π/3
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D
Tension T>F if θ>π/4
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Solution

The correct option is A Tension T in the string increases with increase in θ
F=2Tcosθ
As θ increases,cosθ decreases and therefore T increases

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