a) That rotational inertia of a solid cylinder of mass M and radius R about its central axis is equal to the rotational inertia of a thin hoop of mass M and radius R / √ 2 about its central axis. b) That the rotational inertia I of any given body of mass M about any given axis is equal to rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and radius k given by k = I M

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Chapter 10, Problem 79P

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a) That rotational inertia of a solid cylinder of mass M and radius R about its central axis is equal to the rotational inertia of a thin hoop of mass M and radius R/√2 about its central axis.

b) That the rotational inertia I of any given body of mass M about any given axis is equal to rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and radius k given by k= IM

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