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A homogenous solid cylindrical roller of...

A homogenous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is :

A

`F/(2mR)`

B

`F/(3mR)`

C

`(3F)/(2mR)`

D

`(2F)/(3mR)`

Text Solution

Verified by Experts

The correct Answer is:
D
`F.R = ((MR^(2))/2 + mR^(2))alpha`
`rArr F.R.=3/2 mR^(2) alpha rarr =(2F)/(3Rm)`
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