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PRACTICE / Rolling without slipping

Friction can point forward

A 3 kg solid cylinder is pulled horizontally rightward at its top with a 9 N force. It rolls on a stationary horizontal plane. Take I=mr²/2, g=10 m/s² and μ_s=0.20.

What is the signed friction force, with rightward positive?

Organize the givens & assumptions
  • Mass: 3 kg
  • Top force: +9 N
  • I/(mr²)=1/2
  • μ_s=0.20

Rigid no-slip motion to be checked; no rolling resistance; the pull is horizontal and tangent at the top.

  1. A+3 N+3\ \mathrm N
  2. B−3 N-3\ \mathrm N
  3. C00
  4. D+9 N+9\ \mathrm N

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