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## Homework Statement

Experiement 1:

One student sits on a stool that rotates freely. He holds a 5-kg mass in each hand. Initially, the student has a angular velocity of 5 radians/sec with his arms in his lap.

Question:

In exp 1, with his arms outstretched, the student drops the weights. This will cause the angular velocity of the student to:

answer: remain the same

can someone explain to me why "moment of inertia would not change for the system when the student drops the weight" since Inertia is proportional to mass x r^2 wouldn't a decrease in mass after the weight drop decrease the moment of inertia?