A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation Esphere /Ecylinder will be

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2:3

1:5

1:4

3:1

answer is B.

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Detailed Solution

ESphere ECylinder =12Isωs212Icωc2=Isωs2Icωc2 Here, Is=25mR2,Ic=12mR2ωc=2ωsESphere ECylinder =25mR2×ωs212mR2×2ωs2=45×14=15

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