Calculate the rotational kinetic energy for the following objects spinning about a central axis (in units of Joules): (Hint: the answers to question 2 may help here)
a) a solid sphere with a mass of 100 grams and a radius of 5.0 cm rotating with an angular speed of 2.0 rad/sec.
b) a thin spherical shell with a mass of 100 grams and a radius of 5.0 cm rotating with an angular speed of 2.0 rad/sec.
c) a solid cylinder with a mass of 100 grams and a radius of 5.0 cm rotating with an angular speed of 2.0 rad/sec.
d) a hoop with a mass of 200 grams and a radius of 5.0 cm rotating with an angular speed of 2.0 rad/sec.