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1.

A small object is sliding inside a circular frictionless track. At point A another frictionless track switches it to a smaller circle (see the picture). At all times the tracks can only exert forces which are perpendicular to the motion of the little projectile. Does the angular momentum of the little projectile change or does it remain the same as it moves from the large circle to the small one?

2.

A skater is spinning with his arms outstretched. He has a 2 lb weight in each hand. In an attempt to change his angular velocity he lets go of both weights (by just opening his grip). Does he succeed in changing his angular velocity? If yes, how does his angular velocity change?

3.

An ice skater, whose moment of inertia is I = 4 kgm², is spinning at 2 rad/sec. She changes her moment of inertia to 2 kgm² by changing the configuration of her body. Her
angular momentum remains the same

angular velocity increases

kinetic energy increases

all of above

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