hree children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.6 m, and is spinning at 19 rpm. The children have masses of 21.2 kg, 26.8 kg, and 32.6 kg.  If the child who has a mass of 26.8 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2?    If the child who has a mass of 26.8 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

A turntable (disk) of radius r= 25.0 cm and rotational inertia 0.395 kg · m rotates with an angular speed of 3.04 rad/s around a frictionless, vertical axle. A wad of clay of mass m = 0.254 kg drops onto and sticks to the edge of the turntable. What is the new angular speed of the turntable? rad/s

We have a rod-shaped space station of length 687m and mass 5.35 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 2.26 rpm. If the length of the rod is reduced to 2.26m, what will be the new rotation rate of the space station?     4.38 rpm     7.50 rpm     3.50 rpm     6.25 rpm

A string is wrapped around the central axis of a platform that is free to rotate. A 100 g mass attached to the string falls, exerting a torque on the spinning platform. The empty platform has a rotational inertia of 1.75 g·m2. Two masses, m1 = 25 g and m2 = 35 g, are attached to the top of the platform a distance of 15 cm from the central axis. Once the 100 g mass falls a distance of 1.31 m, the string detaches from the central axis. At this point the 100 g mass is moving downward at a speed of 0.96 m/s. Find the maximum rotational speed of the rotating platform with masses m1 and m2 attached.