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» ANSWER :(a) `(1)/(6)` (b) `(49)/(52)`