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MHT CET 2025 (20 Apr, Shift 2) · Rolling Motion

Rolling Motion question from MHT CET 2025 (20 Apr, Shift 2)

Q12MHT CET 2025 · 20 APR · SHIFT 2Easy

Rolling Motion

A disc of mass ' mm ' and radius ' rr ' rolls down an inclined plane of height ' hh '. When it reaches the bottom of the plane, its rotational kinetic energy is ( g=g = acceleration due to gravity)

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Answer: (a)

  1. Total KE at the bottom =mgh= mgh.
  2. Disc: KrotKtotal=1/21+1/2=13\frac{K_{rot}}{K_{total}} = \frac{1/2}{1 + 1/2} = \frac{1}{3}
  3. Krot=mgh3K_{rot} = \frac{mgh}{3}
  4. So the answer is (a) mgh3\frac{mgh}{3}.
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