Motion of connected bodies:
Analyze motion of connected bodies that is connected by pulleys.
Sol: The given figure shows a light and inextensible string passing over smooth and weightless pulley. Two bodies having weights W_{1} and W_{2} are attached to the two ends of string.
Let W_{1}>W_{2}, weight W_{1} will move downwards, while smaller weight W_{2} will move upwards. For the inextensible string, upward acceleration of weight W_{2} will be equal to downward acceleration of weight W_{1}.
As string is light and inextensible and passing over the smooth pulley, the tension of string will
be same on both the sides of pulley.
Consider the Motion of weight W_{1}( down ward)
W_{1}-T = m_{1}.a ...(i)
T-W_{2} = m_{2}.a ...(ii)
Solved both equation for finding value of Tension (T) or acceleration (a)