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Answer on Mechanics | Relativity Question for farfia

Question #4452
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?
Expert's answer
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

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