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In the figure shown neglecting friction ...

In the figure shown neglecting friction and mass of pulley, what is the acceleration of mass `B` ?

A

`(g)/(3)`

B

`(5g)/(2)`

C

`(2g)/(2)`

D

`(2g)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
For block `A` ,
`mg-2T=ma` (1)
For block `B` , `T-mg=mb` (2)
And by constraint motion,
`(a-b)+a=0` (3)
Solving (1), (2) and (3) get
`a=-g//5`
and `b=-2g//5` .
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Knowledge Check

  • Study in fig. and answer the following questions accordingly. Neglect all friction and masses of the pulleys. What is the acceleration of block B?

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