Question

Two masses (M+m) and (M-m) are attached to the ends of a light inextensible string and the string is made to pass over the surface of a smooth fixed pulley. When the masses are released from rest, the acceleration of the
system is​

Answer 1

Answer:

The acceleration of the system is 2 g.

Explanation:

Here given that mass attached with a light spring ,it means that the acceleration of mass will be same.

Lets take acceleration of mass is a.

The mass (M+m) is more so it will try to lift the mass (M-m).

Lets take tension in the string is T

So we can say that

(M+m)g -T  =(M+m)a     -----(1)

T- (M-m)g = (M-m)a   ----(2)

Now add the above both equation

(M+m)g- (M-m)g=(M+m+M-m)a

2 M g= 2 M a

So a =2 g

The acceleration of the system is 2 g.