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MHT CET 2024 (4 May, Shift 2) · Rolling Motion

Rolling Motion question from MHT CET 2024 (4 May, Shift 2)

Q25MHT CET 2024 · 4 MAY · SHIFT 2Easy

Rolling Motion

A solid cylinder of mass ' MM ' and radius ' RR ' rolls down an inclined plane of height ' hh '. When it reaches the foot 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 foot =Mgh= Mgh.
  2. Solid cylinder: KrotKtotal=1/23/2=13\frac{K_{rot}}{K_{total}} = \frac{1/2}{3/2} = \frac{1}{3}
  3. Krot=Mgh3K_{rot} = \frac{Mgh}{3}
  4. So the answer is (a) Mgh3\frac{Mgh}{3}.
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