Rolling

AP Physics 1· difficulty 2/5

A solid sphere and a solid disk (same mass and radius) roll without slipping down the same incline from rest. Which arrives first?

  • A

    Depends on incline angle

  • B

    Tie

  • C

    Disk

  • D

    Sphere

    check_circle

Explanation

a=gsinθ/(1+k)a = g\sin\theta/(1 + k) where k=I/(MR2)k = I/(MR^2). Sphere k=2/5k = 2/5, disk k=1/2k = 1/2. Smaller kk wins → sphere.

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