Calculate the angular momentum for a rotating disk, sphere, and rod:
(a) A uniform disk of mass 13 kg, thickness 0.5 m, and radius 0.2 m is located at the origin, oriented with its axis
along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the
+y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.6 s. What is the
rotational angular momentum of the disk? What is the rotational kinetic energy of the disk?
(b) A sphere of uniform density, with mass 22 kg and radius 0.7 m is located at the origin, and rotates around an axis
parallel with the x axis. If you stand somewhere on the +x axis and look toward the origin at the sphere, the sphere
spins counterclockwise. One complete revolution takes 0.5 seconds. What is the rotational angular momentum of the
sphere? What is the rotational kinetic energy of the sphere?
(c) A cylindrical rod of uniform density is located with its center at the origin, and its axis along the z axis. Its radius
is 0.06 m, its length is 0.7 m, and its mass is 5 kg. It makes one revolution every 0.03 seconds. If you stand on the
+x axis and look toward the origin at the rod, the rod spins clockwise. What is the rotational angular momentum of
the rod? What is the rotational kinetic energy of the rod?