A golf club (uniform rod) of length 0.73 m, mass 2.7 kg and rotational inertia o

Question

A golf club (uniform rod) of length 0.73 m, mass 2.7 kg and rotational inertia of 0.72 kgm^2 is swung at a 0.4 kg ball of silly putty. Just before the club hits the putty, it has an angular speed of 2.2 rad/s. If the putty ball sticks to the club when contact us made, what is the angular speed of the putty/club just after the collision. A golf club (uniform rod) of length 0.73 m, mass 2.7 kg and rotational inertia of 0.72 kgm^2 is swung at a 0.4 kg ball of silly putty. Just before the club hits the putty, it has an angular speed of 2.2 rad/s. If the putty ball sticks to the club when contact us made, what is the angular speed of the putty/club just after the collision.

Explanation / Answer

rotational inertia of club:

Ic = 0.72 kg.m2

M = 2.7 kg

L = 0.73 m2

m = 0.4 kg

W = 2.2 rad/s

Initial angular momentum of the club:

Li = Ic*W = 0.72*2.2

final angular momentum of the club+putty

Lf = (Ic + m*L^2)*W'

where W' = final angular speed of putty/club

By conservation of angular momentum"

Li = Lf

So, 0.72*2.2 = (0.72+0.4*0.73^2)*W'

So, W' = 1.697 rad/s <-----answer

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