Rolling

AP Physics 1· difficulty 3/5

disk hoop

A solid disk and a thin hoop (same mass and radius) roll without slipping down an incline starting from rest. Which arrives at the bottom <strong>first</strong>?

  • A

    The disk

    check_circle
  • B

    The hoop

  • C

    Depends on the radius

  • D

    Tie

Explanation

For rolling, a=gsinθ/(1+I/MR2)a = g\sin\theta/(1 + I/MR^2). Disk: 1+1/2=3/21 + 1/2 = 3/2, hoop: 1+1=21 + 1 = 2. Disk has larger aa, so it wins.

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