A uniform smooth rod (mass m and length 1) placed on a smooth horizontal floor is hit by a particle (mass m) moving on the floor, at a distance
from one end elastically (e = 1). The distance travelled by the centre of the rod after the collision, when it has completed three revolutions, will be
Text Solution
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Applying conservation of linear momentum,
= mv' + mV
v = v' + V ........(i)
Applying conservation of angular momentum about the point of collision

.......... (ii)
for a perfectly elastic collision e = 1
..........(iii)




Angle rotated by the rod 


Hence, distance travelled by the centre of the rod is
s = Vt

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