13. Rotational Inertia & Energy

A hoop of mass $m$ and radius $R$ rolls without slipping down a hill of height $5.75$ m. What is the speed of the hoop's center of mass at the bottom of the hill?

A hollow sphere of mass M and radius R rolls without slipping on a horizontal surface with angular speed W. Calculate the ratio of its linear kinetic energy to its total kinetic energy.

A 150-g baseball, 3.85 cm in radius, leaves the pitcher's hand with 30 m/s horizontal and 20 rad/s clockwise. Calculate the ball's linear, rotational, and total kinetic energy.