Consider two bodies of weight W_{1} and W_{2} respectively connected by a light inextensible string as shown in fig,

Let the body W_{1} hang free and the W_{2} be places on an inclined smooth plane.

W_{1} will move downwards and the body W_{2} will move upwards along the inclined surface. A little consideration will show that the velocity and acceleration of the body W_{1} will be same as that of W_{2}. Since the string is inextensible, therefore tension in both the string will also be equal.

Consider the motion of W_{1} W_{1} – T = (W_{1}/g)a ...(1)

Consider the motion of W_{1}

T – W_{2}sin ± = (W_{1}/g)a ...(2)

Solve the equations for ‘T’ and ‘a’