Q. In the system shown in figure, masses of the blocks are such that when system is released, the acceleration of pulley is upward and acceleration of block is upward. It is found that the acceleration of block is same as that of both in magnitude and direction . Then

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Solution:

The acceleration of block , w.r.t pulley ;


The acceleration of block , w.r.t pulley ;
But,

Hence,
The acceleration of block w.r.t pulley ;

The acceleration of block w.r.t pulley ;



Hence,
and