Question

What will be the acceleration of the block

Answer 1

Solution :

✳ Given :-

▪ A system of three mass m1, m2 and m3 is provided.

✴ To Find :-

▪ The correct relation between a1, a2 and a3

✴ Concept :-

▪ Work done by tension force is always zero.

$\boxed{\sf{\pink{\sum\:T \: a=0}}}$

✴ Diagram :-

▪ Please see the attachment for better understanding.

✴ Calculation :-

$\implies\sf\:(T\:a_1)+(T\:a_2)+(-2T\:a_3)=0\\ \\ \implies\sf\:(T\:a_1) + (T\:a_2)= 2T \: a_3\\ \\ \implies \: \boxed{\sf{\orange{\large{a_1+a_2=2a_3}}}}$

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✒ Option-B) is correct

Note :- negative sign shows opposite direction.