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JEE Main 2021 (20 Jul, Shift 2) · Rolling Motion

Rolling Motion question from JEE Main 2021 (20 Jul, Shift 2)

Q52JEE Main 2021 · 20 JUL · SHIFT 2Easy

Rolling Motion

A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy. The body is:

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Answer: (b)

  1. KrotKtrans=k2R2=0.5\frac{K_{rot}}{K_{trans}} = \frac{k^2}{R^2} = 0.5
  2. I=12mR2I = \frac{1}{2}mR^2, which is a solid cylinder (solid sphere gives 0.40.4, hollow cylinder and ring give 11).
  3. So the answer is (b) solid cylinder.
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