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 :-
$\frac{1}{6} \frac{l \omega}{g}$
$\frac{1}{2} \frac{l^2 \omega^2}{g}$
$\frac{1}{6} \frac{l^2 \omega^2}{g}$
$\frac{1}{3} \frac{l^2 \omega^2}{g}$
Write the formula for power and angular momentum in rotational motion.
Write the formula for power in the motion of a rigid body.
Moment of inertia of a body about a given axis is $1.5\, kg\, m^2$ Initially the body is at rest. In order to produce a rotational kinetic energy of $1200\, J$, the angular acceleration of $20\, rad/s^2$ must be applied about the axis of rotation for a duration of ......... $\sec$.
A meter stick is held vertically with one end on the floor and is allowed to fall. The speed of the other end when it hits the floor assuming that the end at the floor does not slip is ......... $m / s$ $\left(g=9.8 \,m / s ^2\right)$
$A$ ring of mass $m$ and radius $R$ has three particles attached to the ring as shown in the figure. The centre of the ring has a speed $v_0$. The kinetic energy of the system is: (Slipping is absent)