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A string is wound around a hollow cyli...

A string is wound around a hollow cylinder fo mass 5 Kg and radius 0.5 m. If the strinag is now pulled with a horizontal force of 40 N, the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cyclinder will be (Neglect the mass and thickness of the string).

A

`20"rad//s^(2)`

B

`16"rad//s^(2)`

C

`10"rad//s^(2)`

D

`12"rad//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Taking torque about the point of contact
`40xx[1]=[mr^(2)+mr^(2)]alpha`
`40=2mxx(1)/(4) alphaimplies40=2xx5xx(1)/(4)alpha`
:. `alpha=16 rad//s^(2)`
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