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Blocks of mass M(1) and M(2) are connect...

Blocks of mass `M_(1)` and `M_(2)` are connected by a cord which passes over the pulleys `P_(1)` and `P_(2)` as shown in the figure. If there is no friction, the acceleration of the block of mass `M_(2)` will be

A

`(M_(2)g)/((4M_(1)+M_(2)))`

B

`(2M_(2)g)/((4M_(1)+M_(2)))`

C

`(2M_(1)g)/((M_(1)+4M_(2)))`

D

`(2M_(1)g)/((M_(1)+M_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A

Relative between `a_(1)& a_(2)`
`a_(1)=2a_(2)=2a`
Relative between `T_(1)& T_(2)`
`T_(2)=2T_(1)=2T`
`T_(1)=M_(1)a_(1)` ……`(i)`
`M_(2)g-T_(2)=M_(2)a_(2)` …..`(ii)`
`2T=4M_(1)a`
`M_(2)g-2T=M_(2)a`
`M_(2)g=a(4M_(1)+M_(2))rArra=(M_(2)g)/(4M_(1)+M_(2))`
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