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

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The discussion focuses on the descent speed of different shapes—hoop, disk, and solid sphere—on an inclined plane without slipping. It is concluded that the solid sphere descends the fastest due to having the lowest moment of inertia among the shapes compared. The order of speed from fastest to slowest is identified as solid sphere, solid cylinder, hollow sphere, and hollow cylinder. The initial assumption that all would descend at the same speed is corrected. Ultimately, the solid sphere's design allows for the most efficient descent on an incline.
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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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