1.

Assuming all the surface to be frictionless. The smaller block m ismoving horizontally with acceleration a and vertically downwards with acceleration a. Then magnitude of net acceleration of smaller block m with respect to ground

Answer»

`(2sqrt5mg)/((5m+M))`
`(2MG)/((5m+M))`
`7sqrt5g`
none of these

Solution :FREE BODY diagram for m For m,
`mg-T=m2a…(i)`
`N=ma …(ii)`
Free body diagram for M
For M,
`2T-N=Ma…(iii)`
on solving, `a=(2mg)/((M+5m))`
Net ACCELERATION of m,
`a_(m)=sqrt(4a^(2)+a^(2))=sqrt5a=(2sqrt5mg)/((5m+M))`


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