STANDARD Physics Energy in Rolling Motion MCQ Question
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is k. If radius of the ball be R, then the fraction of total energy associated with its rotation will be
k² + R² / R²
k² / R²
k² / (k² + R²)
R² / (k² + R²)
Correct Answer
Detailed Explanation
The rotational kinetic energy is given by (1/2)Iω². For a rolling object, the fraction of total energy associated with rotation is k² / (k² + R²).
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