A thin uniform rod of length $l$ and mass $m$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega $. Its centre of mass rises to a maximum height of
$\frac{1}{3}\frac{{{l^2}{\omega ^2}}}{g}$
$\frac{1}{6}\frac{{{l\omega}}}{g}$
$\frac{1}{2}\frac{{{l^2}{\omega ^2}}}{g}$
$\frac{1}{6}\frac{{{l^2}{\omega ^2}}}{g}$
Write the formula for rotational kinetic energy.
The ratio of rotational and translatory kinetic energies of a sphere is
Two identical circular loops are moving with same kinetic energy one rolls $\&$ other slides. The ratio of their speed is
A rod of length $l$ is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod when it is in the vertical position is
A uniform sphere of mass $500\; g$ rolls without slipping on a plane horizontal surface with its centre moving at a speed of $5.00\; \mathrm{cm} / \mathrm{s}$. Its kinetic energy is