A ring, a disc and a sphere all of the same radius andmass roll down an inclined plane from the same height h. Which of the three reaches bottom (i) earliest (ii) latest ?

Explanation

To solve the problem of which object reaches the bottom of the inclined plane first, we need to analyze the acceleration of each object as they roll down. The acceleration of a rolling object can be determined using the formula:

\[ a = \frac{g \sin \theta}{1 + \frac{I}{m r^2}} \]

where:
- \( g \) is the acceleration due to gravity,
- \( \theta \) is the angle of the incline,
- \( I \) is the moment of inertia of the object,
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