A rod of length $1\,meter$ is standing vertically, when its other end touches the ground without slipping then the speed of other end will be

$A$ rod is hinged at its centre and rotated by applying a constant torque starting from rest. The power developed by the external torque as a function of time is :

A disc is rotating with angular velocity $\vec{\omega}$. A force $\vec{F}$ acts at a point whose position vector with respect to the axis of rotation is $\vec{r}$. The power associated with torque due to the force is given by ..........

A thin rod of mass $m$ and length $l$ is oscillating about horizontal axis through its one  end. Its maximum angular speed is $\omega$. Its centre of mass will rise upto maximum  height :-

A solid cylinder of mass $M$ and radius $R$ rolls down an inclined plane without slipping. The speed of its centre of mass when it reaches the bottom is ...

The speed of rolling of a ring of mass $M$ changes from $V$to $3\ V$. What is the change in its kinetic energy