Q.
Two masses m1 and m2(m1>m2) are connected by a massless flexible and inextensible string passed over a massless and frictionless pulley. The acceleration of the centre of mass is
Acceleration of each mass =a=(m1+m2m1−m2)g
Now acceleration of centre of mass of the system Acm=m1+m2m1a1+m1a2
As both masses move with same acceleration but in opposite direction so a1=−a2=a (let)