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A uniform solid cylinder of mass m and r...


A uniform solid cylinder of mass `m` and radius `R` is placed on a rough horizontal surface. A horizontal constant force `F` is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

A

`F//3m`

B

`2F//3m`

C

`4F//3m`

D

`5F//3m`

Text Solution

Verified by Experts


In case of pure rolling `alpha` can be obtained about bottommost point,
about which torque of friction is zero.
`alpha=(F(2R))/(3//2mR^(2))=(4)/(3)(F)/(mR)`
`thereforea=Ralpha=(4F)/(3m)`
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