If the system if Figure 7.13 is released from rest in the configuration shown by solid lines, find the maximum distance `h` through which the weight will fall. (Neglect friction and masses of pulleys) What will happen if `P = 2Q` ?

[Hint : Apply work-energy theorem to the compound system consisting of the three masses and ceiling. To find intantaneous velocities of the masses apply the condition that the length of the string remains constant. Also remember that gravitational pulls are the lone forces external to the system, the tension of the string and pull the internal force ceiling are of the system]

Answer

`h=4PQl//(4Q^(2)-P^(2))`. The system will acquire terminal velocity `= sqrt(gl)`