Two blocks A and B of equal mass m are connected through a massless string and arranged as shown in the figure. Friction is absent everywhere. When the system is released from rest

Options

A. tension in the string is `(mg)/(2)`
B. tension in the string is `(mg)/(4)`
C. acceleration of A is `(g)/(2)`
D. acceleration of A is `(3g)/(4)`

Answer

A, B, D

Explanation

`T+mg sin 30^(@)=ma " " ...(1)`
`mg-T=ma" "...(2)`
Solving (1) and (2), we get
`T=(mg)/(4) and a=(3g)/(4)`