The strings are inextensible and light`:` the pulleys are smooth and light. Find the acceleration of each block and tensions in the strings.

Explanation

`{:(5 kg :,darr:50-T_(1)=5a.............(i)),(2 kg :,larr:T_(1)-T_(2)=2a.............(ii)),(3 kg :, uarrT_(2)-30=3a..............(iii)):}`
Adding Eq. (i), (ii) and (iii), we get
`20=10a implies a=2 ms^(-2)`
`T_(1)=40N impliess T_(2)=36 N`
Motion on inclined plane If a block is moving on an inclined plane, we choose two directions, along the plane and perpendicular to the plane. Resolve the forces along these direction and solve.