Question

Asked Oct 29, 2019

Step 1

**Given:**

Mass of the merry-go-round, M = 105 kg

Radius of the merry-go-round = 1.7 m

Angular velocity = 16 rpm

Mass of the 1^{st} child = 22 kg

Mass of 2^{nd} child = 28 kg

Mass of 3^{rd} child = 33 kg

Merry-go-round can be treated as solid disk and children as points.

Step 2

Calculating the new angular velocity of the merry-go-round if the 28 kg child moves to the center:

As there is no external force involved in the merry-go-round, so the total angular momentum of the system (merry-go-round plus children) will remain conserved.

Step 3

Now applying the conservation of angular momentum to calculate the f...

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