Questions
A circular disc rolls down an inclined plane without slipping. What fraction of its total energy is translational ?
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Correct option is C
The kinetic energy of translational motion is given by( K.E. )t=12mv2=12mr2ω2The ratational kinetic energy is given by(K.E.)r=12Iω2=1212mr2ω2=14mr2ω2∴ Total (K.E.) r=12mr2ω2+14mr2ω2=34mr2ω2The ratio of translational kinetic energy to total kinetic energy is given by( K.E. )t( K.E. )T=(1/2)mr2ω2(3/4)mr2ω2=23Similar Questions
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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