A uniform solid disk of mass m = 2.95 kg and radius r= 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 5.98 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m²/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim? kg m2/s

A solid, horizontal cylinder of mass 15.0 kg and radius 1.00 m rotates with an angular speed of 6.00 rad/s about a fixed vertical axis through its center. A 0.250-kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.

A uniform thin rod of length 0.48 m and mass 3.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.2 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 9.00 rad/s immediately after the collision, what is the bullet's speed just before impact? Axis Number i Units

Angular momentum is conserved for this inelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts no torque.   The disk has a mass of 51.5 g and an initial velocity of 32.0 m/s when it strikes the stick that is 1.40 m long and 2.05 kg at a distance of 0.100 m from the nail.   1. What is the angular velocity (in rad/s) of the two after the collision? (magnitude in rad/s)   2. What is the kinetic energy (in J) before and after the collision? Kbefore=  J Kafter=  J   3. What is the total linear momentum (in kg · m/s) before and after the collision? (Entermagnitude) pbefore=  kg · m/s pafter= kg · m/s