A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Question

Dr. Abubacker · Accepted Answer

[Solution from source] For rolling without slipping a = g sin θ/(1 + k²/R²). The solid cylinder has k²/R² = 1/2 and the hollow one 1, so the solid cylinder has the larger acceleration and reaches first at any angle. Masses being equal does not make them arrive together because the mass distribution differs. Answer (4).

Q. A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Explanation

Reviewed by Dr. Abubacker

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