Two coaxial discs, having moments of inertia $I_1$ and $\frac{I_1}{2}$ are a rotating with respectively angular velocities $\omega_1$ and $\frac{\omega_1}{2}$, about their common axes. They are brought in contact with each other and thereafter they rotate with a common angular velocity. If $E_f$ and $E_i$ are the final and initial total energies, then $(E_f -E_i)$ is

  • [JEE MAIN 2019]
  • A

    $\frac{{{I_1}\omega _1^2}}{6}$

  • B

    $\frac{3}{8}{I_1}\omega _1^2$

  • C

    $ - \frac{{{I_1}\omega _1^2}}{{12}}$

  • D

    $ - \frac{{{I_1}\omega _1^2}}{{24}}$

Similar Questions

A solid sphere rolls down without slipping on an inclined plane, then percentage of rotational kinetic energy of total energy will be ........ $\%.$

A  solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy $(K_t)$ as well as rotational kinetic energy $(K_r)$ simultaneously.  The ratio $K_t : (K_t + K_r)$ for the sphere is

  • [NEET 2018]

If a sphere is rolling, the ratio of its rotational energy to the total kinetic energy is given by

  • [JEE MAIN 2022]

$A$ ring of mass $m$ is rolling without slipping with linear velocity $v$ as shown is figure. $A$ rod of identical mass is fixed along one of its diameter. The total kinetic energy of the system is :-

A particle performs uniform circular motion with an angular momentum $L.$  If the angular frequency of the particle is doubled and kinetic energy is halved, its angular momentum becomes

  • [AIEEE 2003]