Answer to Question #4452 in Mechanics | Relativity for farfia

Question

a solid sphere,spherical shell, solid cylinder and a cylindrical shell all have the mass m and radius R. if they are all released from rest at the same elevation and roll without slipping, which reaches the bottom of an inclined plane first?

Answer 1

Solid sphere will reach the bottom of an inclined plane first, cause it has the smallest moment of inertia:
solid sphere:& I = 2mR^2/5
spherical shell: I = 2mR^2/3
solid cylinder:& I =& mR^2/2
cylindrical shell: I =& mR^2