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Three children are riding on the edge of a merry-go-round that is a disk of mass...

Three children are riding on the edge of a merry-go-round that is a disk of mass 92 kg, radius 1.4 m, and is spinning at 23 rpm. The children have masses of 24 kg, 28.4 kg, and 34.2 kg.

Randomized VariablesM = 92 kg
m1 = 24 kg
m2 = 28.4 kg
m3 = 34.2 kg
r = 1.4 m
f = 23 rpm
   If the child who has a mass of 28.4 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
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Answer #1

When the child most to the centre, his contribution to moment of inertia becomes zero. Find the initial and final moment of inertia and use conservation of angular momentum to find the required angular velocity as shown below

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