Two mass M and m are connected at two ends of an inextensible string. The string passes over a smooth frictionless pulley. Obtain the expression for the acceleration of the masses and the tension in the string. Given M>m.

For mass m, the forces are given as

T - mg = ma … (1)

Similarly, for mass M, the forces are given as

Mg - T = Ma … (2)

From equation (1), we have

T = mg + ma … (3)

Substituting equation (3) in (2) we get

Mg - mg - ma = Ma

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

Substituting the value of a in equation 1,