Which Shape Has the Fastest Descending Inertia on an Inclined Plane?

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Discussion Overview

The discussion centers on the comparative analysis of the descending speeds of different shapes—specifically a hoop, disk, and solid sphere—on an inclined plane, focusing on the concept of inertia and its effects on motion without slipping.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions which shape would descend fastest, listing a hoop, disk, and solid sphere.
  • Another participant suggests that all shapes would descend at the same speed.
  • A different participant ranks the shapes from fastest to slowest based on their moment of inertia, proposing that solid spheres are fastest, followed by solid cylinders, hollow spheres, and hollow cylinders.
  • One participant asserts that the solid sphere has the lowest moment of inertia among the listed shapes, implying it would descend fastest.
  • A later reply introduces a playful element to the discussion, indicating an intention to provoke thought with the question.

Areas of Agreement / Disagreement

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Loren Booda
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Among a hoop, disk and solid sphere of the same radius, which - without slipping - would descend an inclined plane fastest?
 
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My guess: All the same speed.
 
From what I recall, from fastest to slowest:

1. Any solid Sphere
2. Any solid cylinder
3. Any hollow sphere
4. Any hollow cylinder
 
Loren Booda said:
Among a hoop, disk and solid sphere of the same radius, which - without slipping - would descend an inclined plane fastest?

Solid sphere - lowest moment of inertia of the figures listed.
 
And I thought I could fool you guys by putting a little spin on the question.:wink:
 

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