# Constraint motion of Blocks!

As shown in figure mass of the block resting on the floor is $$3m$$ while that of hanging block is $$m$$. The floor is frictionless and horizontal and all pulleys are ideal. The system is initially held stationary with the inclined thread making an angle $$θ = 30°$$ with the horizontal. The blocks are now released from rest and allowed to move. The hanging block falls through a height $$h$$ before hitting the floor and at this time the value of $$θ$$ becomes $$60°$$. The speed with which the hanging block hits the floor is

×