A particle of mass m is moving at speed v perpendicular to an uniform rod of length d and mass m = 6m which pivots around a frictionless axle running through its centre. It strikes and sticks to the end of the rod. The moment of inertia of the rod about its centre is then the angular speed of the system just after the collision is :
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A uniform smooth rod (mass m and length l) placed on a smooth horizontal floor is hit by a particle (mass m) moving on the floor, at a distance
4
l
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:
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