Uniform rod AB is hinged at end A in horizontal position as shown in the figure. The other end is connected to a block through a massless string as shown. The pulley is smooth and massless. Mass of block and rod is same and is equal to `m` Then acceleration of block just after release from this position is

Options

A. `6g//13`
B. `g//4`
C. `3g//8`
D. none of these

Answer

C

Explanation

`alpha=a/l`……………i

`mg-T=ma`……..ii
`Tl-mgl/2=(ml^(2))/3alpha`…………..iii
Solving the above equations `a=(3g)/8`