Question:
A hoop rolls down an inclined plane. The fraction of its total kinetic energy associated with rotational motion is:
A hoop rolls down an inclined plane. The fraction of its total kinetic energy associated with rotational motion is:
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For a rolling hoop, rotational and translational energies are equal.
Updated On: Mar 20, 2026
- \(1:2\)
- \(1:3\)
- \(1:4\)
- 2:3
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The Correct Option is A
Solution and Explanation
Step 1: For a hoop, I = MR².
Step 2: Rotational KE: Kᵣ = (1)/(2)Iω² = (1)/(2)Mv²
Step 3: Translational KE: Kt = (1)/(2)Mv²
Step 4: Total KE = Mv². Fraction due to rotation = (1)/(2).
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