Rolling Without Slipping
For pure rolling, which relation holds between linear velocity v and angular velocity ω (radius R)?
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For rolling without slipping, correct relation is:
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About This Question
- Subject
- physics
- Chapter
- rotational motion
- Topic
- rolling without slipping
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
v = ω R
- Definition of Pure Rolling: The condition where the point of contact between the object and the surface has zero instantaneous velocity relative to the surface.
- Relative Velocity Logic: The velocity of the point of contact C is vc=vcm+vrot.
- Components: For a forward-moving wheel, vcm is to the right and vrot=ωR is to the left at the bottom.
- No-Slip Condition: Setting vcm−ωR=0 gives v=ωR.
- Result: v=ωR is the fundamental constraint for pure rolling.
This easy difficulty physics question is from the chapter rotational motion, covering the topic of rolling without slipping. It appeared in the 2025 exam.
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