Questions
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 will be
detailed solution
Correct option is B
ESphere ECylinder =12Isωs212Icωc2=Isωs2Icωc2 Here, Is=25mR2,Ic=12mR2ωc=2ωsESphere ECylinder =25mR2×ωs212mR2×2ωs2=45×14=15Talk to our academic expert!
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A uniform thin rod of length l and mass m is hinged at a distance l/4 from one of the end and released from horizontal position as shown in Fig. The angular velocity of the rod as it passes the vertical position is
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