Analyze motion of the two bodies connected by string:
Analyze motion of the two bodies connected by string one of which is hanging free and other lying on smooth inclined plane.
Sol.: Consider the two bodies having weight W_{1} and W_{2} respectively connected by light inextensible string as shown in the figure given below.
Let body W_{1} hang free and the W_{2} be places on the inclined smooth plane. W_{1} will move downwards and body W_{2} will move upwards along inclined surface. A little consideration will show that velocity and acceleration of body W_{1} will be same as W_{2}. As the string is inextensible, thus tension in both strings will be equal.
Consider motion of W_{1}W - T = (W_{1}/g)a ...(1)
Consider motion of W_{1}
T - W_{2 }sin ± = (W_{1}/g)a ...(2)
Solve equations for 'T' and 'a'