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:
$\frac{1}{3}\frac{{{l^2}{\omega ^2}}}{g}$
$\frac{1}{6}\frac{{l\omega }}{g}$
$\frac{1}{2}\frac{{{l^2}{\omega ^2}}}{g}$
$\frac{1}{6}\frac{{{l^2}{\omega ^2}}}{g}$
The centre of mass of a body
A uniform solid sphere of mass $m$ and radius $r$ rolls without slipping down a inclined plane, inclined at an angle $45^o$ to the horizontal. Find the magnitude of frictional coefficient at which slipping is absent
Two particles $A$ and $B$ initially at rest move towards each other under a mutual force of attraction. At the instant when the speed of $A$ is $v$ and the speed of $B$ is $2v$, the speed of centre of mass of the system is
In a gravity free space, a man of mass $M$ standing at a height $h$ above the floor, throws a ball of mass $m$ straight down with a speed $u$ . When the ball reaches the floor, the distance of the man above the floor will be
What is the moment of inhertia of a solid sphere of radius $R$ and density $\rho $ about its diameter ?