Rotational Inertia

AP Physics 1· difficulty 4/5

A solid disk and a hoop of equal mass and radius roll down identical inclines from rest. Which reaches the bottom first?

  • A

    Depends on incline angle

  • B

    Hoop

  • C

    Same

  • D

    Disk (smaller I/MR2I/MR^2 → less rotational KE → more translational KE → faster)

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Explanation

Disk I=12MR2I = \frac{1}{2}MR^2; hoop I=MR2I = MR^2. The disk converts more PE to translational KE (less to rotation), so it accelerates faster.

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