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 rolls without slipping and presses a spring of spring constant $'k'$ as shown  in figure. Then, the compression in the spring will be :-

A constant power is supplied to a rotating disc. Angular velocity $\left( \omega  \right)$ of disc varies with number of rotations $(n)$ made by the disc as

A body of moment of inertia of $3\ kg-m^2$ rotating with an angular velocity of $2\ rad/sec$ has the same kinetic energy as a mass of $12\ kg$ moving with a velocity of .......... $m/s$

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

A disc and a ring of same mass are rolling and if their kinetic energies are equal, then the ratio of their velocities will be