A block of mass m is kept over a fixed smooth wedge. Block is attached to a sphere of same mass through fixed massles pullies `P_(1)` and `P_(2)`, sphere is dipped inside the water as shown. If specfic gravity of material of sphere is 2. Find the acceleration of sphere.

Explanation

Writing equation fo motion for the block
`T=mg sin 30^(@)=ma`
for the sphere
Weight-Buoyant force `-T=ma`
or, `mg-(mg)/(2)-T=ma`
solving we get `a=0`.