In the pulley system shown, if radii of the bigger and smaller pulley are `2 m` and `1 m` respectively and the acceleration of block `A` is`5 m//s^2` in the downward direction, then the acceleration of block `B` will be :
.

Options

A. `0 m//s^(2)`
B. `5 m//s^(2)`
C. `10 m//S^(2)`
D. `5//2 m//s^(2)`

Answer

D

Explanation

Given `a_(A)=2alpha=5 m//s^(2)`
`rArr alpha=5//2 rad//s^(2)`
`rArr a_(B)=1.(alpha)=5//2 m//s^(2)`