Hoop and Cylinder Motion
Given a race between a thin hoop and a uniform cylinder down an incline. Which will win?
Solving for the velocity shows the cylinder to be the clear winner.
The cylinder will reach the bottom of the incline with a speed that is 15% higher than the top speed of the hoop. The hoop uses up more of its energy budget in rotational kinetic energy because all of its mass is at the outer edge.
Rotational kinetic energy concepts