At the apex of an inclined plane, a disk, a hoop, and a solid sphere—all of mass M and radius R—are simultaneously released.
All of the mass in the hollow cylinder, ring, or hoop is located r distances from the axis of rotation. The mass of the solid cylinder, however, is evenly distributed. The solid sphere rolls down a hill more quickly because it is easier to rotate due to its reduced "rotational mass". At the top of an incline of height h, their speeds when they reach the bottom are compared side by side. The sphere will have the smallest moment of inertia and will arrive at the ground first since the majority of its mass is located close to the axis of rotation.
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