Suppose you are sitting on a rotating stool holding a 2 kgmass
in each outstretched hand. if you suddenly drop the masses, will
your angular velocity increase, decrease, or stay the same?
explain.

Increase

Explanation:

Given

You are holding 2 kg mass in each outstreched hand

If the masses are dropped then Moment of inertia will decease by

Where m=2 kg

r=length of stretched arm

Since angular momentum is conserved therefore decrease in Moment of inertia will result in increase of angular velocity

as I=constant

I=Moment of inertia

=angular velocity

gravitational energy

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kinetic energy

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