Two blocks of mass 5 kg and 3 kg are attached to the ends of a string passing over a smooth pulley fixed to the ceiling of an elevator. A man inside the elevator accelerated upwards, finds the acceleration of the blocks to be `(9)/(32)g`. The acceleration of the elevator is

Options

A. `(g)/(3)`
B. `(g)/(4)`
C. `(g)/(8)`
D. `(g)/(6)`

Answer

C

Explanation

( c) Let acceleration of lift is a upwards. Then with respect to lif

`a_(r)=("Net pulling force")/("Total mass")`
`=((5g+ga)-(3g+3a))/(8)`
`implies " " (9)/(32)g((g+a))/(4)`
`therefore" " a=(g)/(8)`