In fig, all the pulleys and strings are massless and all the surfaces are frictionless. A small block of mass m is placed on fixed wedge (take `f=10ms^(-2)`).

The acceleration of m is

Options

A. `4.5 ms^(-2)` down the incline
B. `4.5 ms^(-2)` up the incline
C. `5 ms^(-2)` down the incline
D. `5 ms^(-2)` up the incline

Answer

A

Explanation

`mg sin 30 -T=ma`
`50-5=10a`
`a=4.5 ms^(-2)`
`a_(P_4)=(-+4.5)/(2)=2.25 ms^(-1)`.