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

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