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A cylinder of mass M and radius 2R has a...

A cylinder of mass M and radius 2R has a groove of radius R. A block of mass m is hung from the circumference of the cylinder and the cylinder itself is hung from a rigid support by a thread wound on the groove as shown in the figure. If the acceleration of centre of mass of the cylinder is `'a_(1)'` , accelration of the block is `a_(2)` downward and angular acceleration of the cylinder is `alpha`, then relation between `a_(1) , a_(2)` and `alpha` will be

A

`a_(1) - alpha R = a_(2)`

B

`a_(1) - 2alpha R = a_(2)`

C

`a_(1) + a_(2) = ( alpha R)/( 2)`

D

`a_(1) - a_(2) = 3alpha R `

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The correct Answer is:
B
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