A disk with a rotational inertia of 6.08 kg·m2 rotates like a merry-go-round while undergoing a torque given by τ = (5.14 + 4.44t) N · m. At time t = 1.00 s, its angular momentum is 8.22 kg·m2/s. What is its angular momentum at t = 3.00 s?

An object's moment of inertia is 2.50 kgxm^2 . Its angular velocity is increasing at the rate of 3.30 rad/s^2 . What is the net torque on the object?

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 turntable s pins on a frictionless bearing. Its moment of inertia is 3.00 x 10-2 kg m2. It initially rotates at 25.0 rev/min about an axis through its center. Then, a 0.6-kg ball of putty is dropped vertically onto the turntable. It lands and sticks at a point 0.10 m from the center. By what factor does this collision change the angular momentum of the system? That is, Lafter = [factor] x Lpefore- (Hint: Since it moves vertically the putty has initial angular momentum of zero.) O a. 1.22 b.0.820 c. 1.00 (no change) d. 1.20

A turntable of radius R=2.00 m and mass M=32.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I 0.5*MR?. (a) What is the magnitude of angular momentum of this turntable? Answer: 803.84 (b) What is the (magnitude of) the momentum of this turntable? Answer: 401.92 kgm2/s? X kgm/s? Now a lump of clay of mass m=2.48 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.90 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: 12.386 X rad/s

A 3.8-mm-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s. Its total moment of inertia is 1300 kg⋅m2. Four people standing on the ground, each of mass 61 kg, suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?

A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 22.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round (in rev/min)?

Please answer E16,E17

A disk with a rotational inertia of 7.46 kg·m2 rotates like a merry-go-round while undergoing a torque given by τ = (5.54 + 7.56t) N · m. At time t = 1.00 s, its angular momentum is 8.05 kg·m2/s. What is its angular momentum at t = 3.00 s?

A carousel has a radius of 1.60 m and a moment of inertia of 130 kg · m2.A girl of mass 43.0 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.10 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.4 rad/s. How far from the center, in meters, did the girl stop?