A rigid uniform rod of mass M and length L is placed along the Y-axis on a smooth horizontal surface with its centre at the origin. Two particles , each of mas m ( = M //12)hits simultaneously , at the two ends with equal speed v as shown in the figure. The collision is completely inelastic. (i)Find the angular velocity of the system after the collision. (ii)Two particles of mass 2m and m are placed respectively at ( L//2, 0) and ( - L//2, 0). Calculate the time when the rod hits these particles.

A rigid uniform rod of mass M and length L is placed along the Y-axis

1.	A rigid uniform rod of mass M and length L is placed along the Y-axis on a smooth horizontal surface with its centre at the origin. Two particles , each of mas m ( = M //12)hits simultaneously , at the two ends with equal speed v as shown in the figure. The collision is completely inelastic. (i)Find the angular velocity of the system after the collision. (ii)Two particles of mass 2m and m are placed respectively at ( L//2, 0) and ( - L//2, 0). Calculate the time when the rod hits these particles.
Answer» Answer :(a)`( 2v)/( 3L) `, ( b) `( 3 PI L )/( 4 V )`

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