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Question

A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ωA and ωB, respectively. Then
  1. ωA=ωB
  2. ωA=ω
  3. ωB=ω
  4. ωA<ωB

A
ωA<ωB
B
ωA=ωB
C
ωA=ω
D
ωB=ω
Solution
Verified by Toppr

Since the spheres are smooth, there will be no transfer of angular momentum from the sphere A to sphere B. The sphere A only transfers its linear velocity v to the sphere B and will continue to rotate with the same angular speed ω.

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