Two blocks of masses `m_(1)=2 kg and m_(2)=5 kg` hang over a massless pulley as shown in the fig A force `F_(0)=100N` acting at the axis of the pulley accelerates the system upwards Find
(a) the acceleration of each mass
(b) the tension in the string.

Answer

`(a) a_(2)=15.2 m//s^(2) " upward"`
`a_(5)=0.2 m//s^(2) " upward";`
(b) `50N`

Explanation

`T-2xx9.8=2xxa_(2)`...(i)
`50-19.6=2xxa_(2)`
`a_(2)=15.2m//sec^(2)`
`T-5xx9.8=5xxa_(5)` ...(ii)