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) |
|
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) |
|
(a,c,d)
Applying conservation of linear momentum
Applying conservation of angular momentum about centre of mass, we get
Where
Energy after collision,