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A uniform bar of length  and mass  lies on a smooth horizontal table. Two point masses  and  moving in the same horizontal plane with speeds and , respectively, strike the bar (as shown in the figure) and stick to the bar after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity by and   respectively, we have after collision

a)

b)

c)

d)



Question ID - 100561 | SaraNextGen Top Answer

A uniform bar of length  and mass  lies on a smooth horizontal table. Two point masses  and  moving in the same horizontal plane with speeds and , respectively, strike the bar (as shown in the figure) and stick to the bar after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity by and   respectively, we have after collision

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (a,c,d) -

(a,c,d)

Applying conservation of linear momentum

Applying conservation of angular momentum about centre of mass, we get

Where

Energy after collision,

127 votes


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