# Rod and particle

Consider a rod of mass $$M$$ and length $$L$$ is free to rotate about an horizontal axis O passing through its center. A particle of mass m falls from point P which is at a height h from Q and collides elastically with rod at a distance $$\frac L4$$ form O. If the rod makes an angle $$\alpha$$ with horizontal before collision. Then find the angular velocity of rod just after collision.

Details And Assumptions

1. The Rod is at rest before collision
2. M = 2.5 kg
3. L = 4 m
4. m = 2 kg
5. h = 5 m
6. $$\alpha = {37}^{\circ}$$
7. Take $$g= 10 m/s^2$$
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