A merry-go-round made of a ring-like platform of radius
and mass
, is revolving with angular speed
. A person of mass
is standing on it. At one instant, the person jumps off the round, radially away from the center of the round (as seen from the round). The speed of the round afterwards is
Text Solution
Verified by ExpertsA
As no external torque acts on the system, angular momentum should be conserved.
Hence,
constant …(i)
where,
is moment of inertia of the system and
is angular velocity of the system.
From Eq. (i), 
(where,
and
are angular velocities before and after jumping)

(As mass reduced to half, hence moment of inertia also reduced to half)

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