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Question

A ring and a spherical shell of same mass and same radius are released from top of an inclined plane from same height. Ratio of speed of ring to the speed of shell when they come down by height `H` is (assume friction is sufficient to avoid sliding)
  1. 2
  2. 34
  3. 23
  4. 56


Solution

The correct option is D 56
By conservation of energy:
mgH=12mv2+12Iw2

2mgH=mv2+Iv2R2v=2mgH(m+IR2)

vring=2gHm2m=gH and vshell=2mgH(m+23m)=6gH5
vringvshell=56

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