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Question:

A solid cylinder, a circular disc, a solid sphere, and a hollow cylinder of the same radius are placed on an inclined plane. Which of the following will have maximum acceleration at the bottom of the plane?

Cirular disc

Solid cylinder

Solid sphere

Hollow sphere

Solution:

Moment of inertia, I = mk²
For an inclined plane, a = gsinθ / (1 + k²/R²). Now, for a solid sphere, the value of k²/R² is minimum (equal to 2/5), so it has the maximum acceleration.