Question

A rod of length L and Mass M lies on a frictionless horizontal table. It is free to move in any way on the table. A small body of mass m moving with a velocity u collides in elastically with the rod.

(a) Find the velocity of the Centre of mass of the rod.

(b) Find the angular velocity of the rod about Centre of mass.

Answer 1

Answer:

a)MV+mv=0(momentum conservation)

Therefore Vcm=mv÷M

b)angular velocity can be calculated using = Vcm÷radius( by V = r omega)

Put the values and calculate

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