A 97.5 kg97.5 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.55 rad/s1.55 rad/s. A monkey drops a 8.03 kg8.03 kg bunch of bananas vertically onto the platform. They hit the platform at 4545 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.1 kg21.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.95 m1.95

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.947 rad/s. You, with a mass of 65.7 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 20.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.9 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 91.1 kg and radius 1.95 m. Calculate the total angular momentum of the system. total angular momentum: kg · m?/s

A spherical satellite of approximately uniform density with radius 4.8 m and mass 215 kg is originally moving with velocity (2600, 0, 0) m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 6.0 kg is initially moving toward the satellite with velocity (-2200, 0, 0) m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity ( 1300, 480, 0) m/s. Both before and after the collision, the rotation of the space junk is negligible. V3 L Part 1 Ux = Uy = @1 (a) Just after the collision, what are the components of the center-of-mass velocity of the satellite (v, and vy) and its rotational speed w? (For Ux, enter your answer to at least four significant figures.) Part 2 Mi @= i i Save for Later i M, R, 1 V2 m m/s m/s rad/s (b) Calculate the rise in the internal energy of the satellite and space junk combined. J Attempts: 0 of 10 used Submit Answer

Three children are riding on the edge of a merry-go-round that is a disk of mass 102 kg, radius 1.3 m, and is spinning at 21 rpm. The children have masses of 20.4 kg, 26 kg, and 33.8 kg. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

20

Four 100 g masses are mounted on a much lighter (assume massless) ring. The ring has a radius of 0.1 m. If the ring is to spin around an axis perpendicular to the plane of the ring and passing through its center, what is the moment of inertia? 0.004 kg m^2 0.04 kg m^2 0.001 kg m^2 0.01 kg m^2 0.002 kg m^2

A playground merry-go-round, with radius 2.9 m and moment of inertia 127 kg m2, rotates with an angular speed 2.7 rad/s. A boy (mass 46 kg), initially at rest, hops onto the outer edge of the merry-go round. What is the new angular speed (in rad/s) just after the boy has jumped on?

A playground merry-go-round, with radius 1.5 m and moment of inertia 72 kg m2, rotates with an angular speed 2.3 rad/s. A boy (mass 34 kg), initially at rest, hops onto the outer edge of the merry-go round. What is the new angular speed (in rad/s) just after the boy has jumped on?

A figure skater has a mass of 65 kg and an angular momentum of 200 kg*m2/s during a camel spin.  During this spin, the average radius of gyration changes from 0.33 meters to 0.65 meters in 0.62 seconds. What is the figure skater’s average angular acceleration in degrees/s2 during this 0.62 seconds?

A 1000 kg car moves with a speed of 50 m/s on a circular track of radius 100 m. What is the magnitude of its angular momentum (in kg m2/s) relative to the center of the race track?