2. A 4.2-m-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1360 kgm2, Four people standing on the ground, each of mass 65 kg, suddenly step onto the edge of the merry-go-round. (a) What is the angular velocity of the merry-go-round now? (b) What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?

Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 17.4, 29.5, and 40.8 kg. If the child who has a mass of 29.5 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

A light rigid rod of mass 3.00 kg and length 2.00 m rotates about an axis perpendicular to its length and passing through its center as shown in the figure below. Two particles of masses m1 = 6.00 kg and m2 = 3.50 kg are connected to the ends of the rod. What is the angular momentum of the system if the speed of each particle is 4.05 m/s? m2

#1. Due to the conservation of angular momentum, moving mechanical parts in a spacecraft can affect the orientation and rate of angular rotation of the craft. Let us, crudely speaking, model Voyager II as a uniform disk with a mass of 720 kg and an effective radius of 1.0 meters. What is the moment of inertia of Voyager II under these assumptions? A.720kgm^2 B.580kgm^2 C.360kgm^2 D.180kgm^2 #1-1. Suppose the spacecraft in #1 is initially not rotating as a whole, and none of its compo- nents are rotating. A data tape spool with a moment of inertia of 1.25 × 10^−4 kg m^2 begins to spin at a rate of 15.5 Rad/s. What is the angular momentum of the spacecraft as a whole? A. 3.88×10^−3 kg·m^2/s B. 1.94×10^−3 kg·m^2/s C. 9.69×10^−4 kg·m^2/s D. 0.0 kg·m^2/s # 1-3. As the result of the tape spool operation, what is the magnitude of the angular speed of the spacecraft in #1-1 as a whole? A. 0.0 Rad/s B. 5.38 × 10^−6 Rad/s  C. 1.07 × 10^−5 Rad/s D. 2.14 × 10^−5 Rad/s