Problem

A thin ring, a solid sphere, a hollow spherical shell, and a disk of uniform thickness are...

A thin ring, a solid sphere, a hollow spherical shell, and a disk of uniform thickness are placed side by side on a wide ramp of length β and inclined at angle θ to the horizontal. At time t = 0, all four objects are released and roll without slipping on parallel paths down the ramp to the bottom. Friction and air resistance are negligible. Determine the order of finish of the race.

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