Rotational Motion · Interactive

Rolling Race

Release a ring, a disc and a sphere together down a ramp and see who reaches the bottom first — and why. They all feel the same gravity, but each body must spin up its own moment of inertia, so the one that hides the least mass far from its axis wins.

Ring Disc Solid sphere Shell Rolling without slipping

Setup

Incline angle θ 20 °
Ramp length L 4.0 m
Racers
Solid sphere wins
Finish order
3.36
winner a (m/s²)
5.18
v at bottom (m/s)
71
% KE translation
1.19
winner time (s)
a = g·sinθ / (1 + I/mR²) ring 1 · disc ½ · sphere · shell independent of m and R

Playback

Try this: mass and radius don't matter — only the shape. The solid sphere hoards the least mass at its rim, so it always beats the disc, the shell and (dead last) the ring, no matter how heavy or big you imagine them.