AP Physics 1 · Topic 6.5

Rolling Practice

Part of Energy and Momentum of Rotating Systems.(TOP-6.E)

Practice questions

19

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Sample questions

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Sample 1difficulty 1/5
$0.20~\text{m}$
- A
  $0.60~\text{rad/s}$
- B
  $6.0~\text{rad/s}$
- C
  $1.5~\text{rad/s}$
- D
  $15~\text{rad/s}$
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Why
$v = R\omega \Rightarrow \omega = v/R = 3.0/0.20 = 15~\text{rad/s}$
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Sample 2difficulty 1/5
$0.30~\text{m}$
- A
  $2.0~\text{rad/s}$
- B
  $20~\text{rad/s}$
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- C
  $18~\text{rad/s}$
- D
  $1.8~\text{rad/s}$
Why
$\omega = v/R = 6.0/0.30 = 20~\text{rad/s}$
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Sample 3difficulty 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
  $Sphere$
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Why
$a = g\sin\theta/(1 + k)$
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Sample 4difficulty 2/5
$0.20~\text{m}$
- A
  $0.05~\text{rad/s}$
- B
  $5~\text{rad/s}$
- C
  $20~\text{rad/s}$
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- D
  $0.80~\text{rad/s}$
Why
$\omega = v/R = 4/0.20 = 20~\text{rad/s}$
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Sample 5difficulty 3/5
$A solid disk rolls up an incline without slipping. As it rolls up, its angular velocity$
- A
  $Reverses sign$
- B
  $Decreases$
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- C
  $Increases$
- D
  $Stays the same$
Why
$KE decreases as PE increases (energy conservation), so both translational and angular speeds decrease.$
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