Two identical thin rods are moving on a smooth table, as shown. Both of them are rotating with angular speed `omega`, in clockwise sense about their centres. Their centres have velocity V in opposite directions. The rods collide at their edge and stick together. Length of each rod is L. (a) For what value of `(V)/(omega L)` there will be no motion after collision ? (b) If the ratio `(V)/(omega L)` is half the value found in (a) above, what fraction of kinetic energy is lost in the collision?

Two identical thin rods are moving on a smooth table, as shown. Both o

1.	Two identical thin rods are moving on a smooth table, as shown. Both of them are rotating with angular speed `omega`, in clockwise sense about their centres. Their centres have velocity V in opposite directions. The rods collide at their edge and stick together. Length of each rod is L. (a) For what value of `(V)/(omega L)` there will be no motion after collision ? (b) If the ratio `(V)/(omega L)` is half the value found in (a) above, what fraction of kinetic energy is lost in the collision?
Answer» Correct Answer - (a) `(1)/(6)` (b) `(49)/(52)`

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