Calculate the magnitude and direction of the angular momentum of a 3.25 kg object about the origin as a function of time, where the position vector of the object as a function of time is given by r = (-4.00 j + 3.50t k)m.

A sanding disk with a rotational inertia of 1.2 x 10-3kgm2 is attached to an electric drill whose motor delivers a torque of 16 Nm.  If the torque is applied for 25 ms and the disk starts from rest, what is the magnitude of the angular velocity of the sanding disk?  Use the rotational version of the Impulse Momentum Theorem.  Take note of the time units.

As part of a carnival game, a my = 0.653 kg ball is thrown at a stack of 23.8 cm tall, mo = = 0.363 kg objects and hits with a perfectly horizontal velocity of Ubi = 10.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of bf = 3.10 m/s in the same direction, the topmost object has an angular velocity of @= 1.63 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.7 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? What is the center of mass velocity Uo.cm of the tall object immediately after it is struck? (1) 0 Io = b.J Vo.cm = kg-m² m/s

A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m.   At takeoff, what is the diver’s moment of inertia about his transverse axis?

What is the angular momentum of a solid disk at t=2.5s if its mass is 0.25kg, its radius is 4m, and the torque applied to the disk is 1 N m?

Please help me

A 10 kg particle moves in the xy plane with a velocity of v = (3.2 î-6.1 ) m/s. Determine the angular momentum of the particle when its position vector is 7 =(3 i +2.2 j) m. %3D O a:(-253.4k) kg.m2/s Ob:(+253.4 k) kg.m²/s OC(-25.34 k) kg.m²/s d(+25.34 k) kg.m²/s

In a playground, there is a small merry-go-round of radius 1.20 m and mass 180 kg. Its radius of gyration (see Problem 79 of Chapter 10) is 91.0 cm.A child of mass 44.0 kg runs at a speed of 3.00 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped onto the merry-go-round.

A disc (thin cylinder) of mass 0.05 kg and radius 0.65 m is rotating on a frictionless axle at a constant rate of 77 RPM. What a the angular velocity and angular momentum of the disc? の = rad/s L = kg-m2 A second disc of 0.02 kg and 0.23 m is dropped down the axle on top. The two then rotate together. What is the final angular velocity and RPM of the system of discs? rad/s RPM = RPM

A 1.70-kg particle moves in the xy plane with a velocity of = (4.10 1-4.00 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is F (1.50 +2.20 j) m. + j+ k) kg - m²/s