On a frictionless table, a m = 0.70 kg glob of clay strikes a uniform M = 0.82 kg bar perpendicularly at a point b = 0.49 m from the center of the bar and sticks to it. The bar is L = 1.22 m long and the clay is moving at v = 5.50 m/s before striking the bar. What is the final speed of the center of mass? At what angular speed does the bar/clay system rotate about its center of mass after the impact?

a top with radius 10cm, mass 2 kg has a string around the edge and is initially at rest. assume the top can be reasonably approximated as a solid cylinder. the top is held in place as the string is pulled. the string applies a force of 10N tangential to the edge for 2s. what is the angular velocity (in radians per second) of the top after 3 seconds? what is the angular momentum of the top after the string is pulled? after the string is pulled, the top is released. it travels away from its initial position at a linear velocity of 10m/s. what is the rotational velocity (in radians per s) at this top? assume no friction

Refer to the question below.

The center of the cylinder is moving to the left with constant velocity vo. Determine the angular velocity and the angular acceler- ation a of the bar. Neglect the thickness of the bar.

The figure shows multiple solid disks with uniform mass distribution that are spinning about its center. The mass of the disks are the same, but they have different radii, as shown. Rank the disks by the amount of energy needed to spin the disk so that the outer edge of the disk has linear velocity v, from greatest to least. Explain your reasoning. A B с

In orbit mechanics, the angular momentum is also an important quantity governing the satellite's motion. Assume planar motion, a satellite is orbiting around Earth center within a fixed plane. Thus it's motion is completely described by the distance r and the angle (relative to some reference direction). êo 0 (center of Earth) êr PO.. P (satellite) satellite's trajectory Obtain the satellite's angular momentum with respect to Earth center. For spacecrafts, the angular momentum (h) is h = Fx, it is independent of mass. What is the magnitude of h?

A hollow sphere (I=\frac{2}{3}mr^2I=32​mr2) of radius R rotates about a diameter with an angular speed \omegaω. The sphere then collapses (magically) under the action of internal forces to a final radius of R/2 with no change in its mass. What is the final angular speed of the sphere?

A light rigid bar of length, l = 1m, is attached to two particles, with masses m1 = 4 kg and m2 = 3 kg, at their ends. The combination rotates in the xy plane about an axis through the center of the bar, right figure. Determine the angular momentum of the system about the origin when the speed of each particle is 5 m / s.

A thin 105 g disk with a diameter of 7.00 cm rotates about an axis through its center with 0.615 J of kinetic energy. What is the speed (in m/s) of a point on the rim?

A bird flies overhead from where you stand at an altitude of 310.0ĵ m and at a velocity horizontal to the ground of 14.0î m/s. The bird has a mass of 1.8 kg. The radius vector to the bird makes an angle ? with respect to the ground. The radius vector to the bird lies in the xy-plane. What is the bird's angular momentum (in kg · m2/s) about the point where you are standing? (Express your answer in vector form.)