In the figure shown assume ideal string and pulley, the acceleration of the blocks A and B are:-
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Explanation:
let acceleration of a = a downwards
therefore acceleration of b will be a/2 upwards
now apply equations of motion
mg-t =ma
2t-mg = ma/2
2mg-2t = 2ma
mg=5ma/2
a=2g/5 = 4m/s^2
therefore acceleration of a =4m/s^2 upwards
and acceleration of b = 2 m/s^2 downwards
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