4. Use angular momentum conservation to solve the following problem. A 40 kg chi

Question

4. Use angular momentum conservation to solve the following problem. A 40 kg child is standing on the edge of a merry.go-round with a diameter of 3 meters. Estimating the child as a point mase, thei homent of inertiaWhile on the edge of the merry-go-round is kg m2 The merry go-round-itsetf has a moment of ineria of -50 kg m2 and an angulat velocity of 3 rad/s. A hungry tiger sitting in a tree above the merry-go-round notices the child and instantaneously drops onto the merry-go-round at the same moment the child sees the tiger and instantaneously jumips vertically into the tree to get away from the tiger. a) If, after the child's escape, the merry-go-round has slowed to rotate at 1 owe the moment of nerta of thee ger (I go?r(14p int s tra, ( so ) (4)) /.rm 225-( ao) -9 reelS 2 b) Estimating the tiger as a point mass at the edge of the merry go round, what is the tiger's mass? (6 points) 2 (2.zsX A) Ha Ha /3

Explanation / Answer

A)

Use conservation of Angular Momentum

I1w1 = I2w2

90(3) = (50 + I')(1)

So, I' = 220 kgm2

This is the moment of Inertia of the tiger

B) moment of Inertia of the tiger will be given by:

I' = Mr2

220 = M(1.5)2

M = 97.77 kg

This is the tiger's mass.

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