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On an inclined plane making an angle the...

On an inclined plane making an angle `theta` with the horizontal plane, a solid cylinder of mass `m_(1)` is connected to a block of mass `m_(2)` by means of a light chord which is parallel to incline plane . The coefficient of friction between block and incline and between cylinder and incline is equal to `mu` . the system is held at rest & then released . If cylinder & block move together and cylinder perform pure rolling & tension in string is non zero then
Acceleration of block will be :

A

`((m_(1)+m_(2))g sin theta-mum_(2)gcostheta)/((3)/(2)m_(1)+m_(2))`

B

`((m_(1)-m_(2))g sin theta-mum_(2)gcostheta)/((3)/(2)m_(1)+m_(2))`

C

`((m_(1)-m_(2))g sin theta-mum_(2)gcostheta)/((3)/(2)m_(1)+2m_(2))`

D

`((m_(1)-m_(2))g sin theta-mum_(2)gcostheta)/((5)/(2)m_(1)+m_(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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