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Consider a body, shown in Fig. consistin...

Consider a body, shown in Fig. consisting of two identical balls, each of mass `M` connected by a light rigid rod. If an impulse `J = MV` is imparted to the body at one of its ends, what would be its angular velocity?

A

v/L

B

(2v/L

C

v/3L

D

v/4L

Text Solution

Verified by Experts

Initial angular momentum of the system about point O = Linear momentum x Perpendicular distance of linear momentum from the axis of rotation = Mv (L/2)..(i) Final angular momentum of the system about point `O=I_1omega+I_2omega=(I_1+I_2)omega=[M(L/2)^2+M(L/2)^2]omega` (ii)Applying the law of conservation of angular momentum `rArr Mv(L/2)=2M(L/2)^2omega` `rArr omega=v/L`.
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