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

(d) Given `a_A = 2 prop = 5 m//s^2`
`rArr prop = (5)/(2) rad//s^2`
`rArr a_B = 1. (prop) = 5//2 m//s^2`.