Rotational Inertia

AP Physics 1· difficulty 2/5

Of the following objects (all same mass MM and radius RR), which has the <strong>largest</strong> moment of inertia about its symmetry axis?

  • A

    Thin hoop / ring: MR2MR^2

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  • B

    Solid disk/cylinder: 12MR2\frac{1}{2}MR^2

  • C

    Solid sphere: 25MR2\frac{2}{5}MR^2

  • D

    Thin rod about its center, length RR: 112MR2\frac{1}{12}MR^2

Explanation

The hoop concentrates all mass at the maximum distance from the axis, giving the largest I=MR2I = MR^2.

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