The angular velocity of a rigid body about any point of that body is the same,

In the pulley system shown, if the radii of the bigger and smaller pulleys are $2 \mathrm{m}$ and $1 \mathrm{m}$, respectively, and the acceleration of block $\mathrm{A}$ is $5 \mathrm{m} {\mathrm{s}}^{-2}$ in the downward direction, then the acceleration of block $\mathrm{B}$ will be:

Two steel balls of equal diameter are connected by a rigid bar of negligible weight, as shown, and are dropped in the horizontal position from height $h$ above the heavy steel and brass base plates. If the coefficient of restitution between the ball and steel base is $0.6$ and that between the other ball and the brass base is $0.4$, the angular velocity of the bar immediately after rebound is,

(Assume the two impacts are simultaneous and take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

Two points $\mathrm{A}$ and $\mathrm{B}$ on a disc have velocities $v_1$ and $v_2$, at some moment. Their directions make angles $60°$ and $30°$, respectively with the line of separation, as shown in the figure. The angular velocity of disc is:

When a person throws a meter stick, it is found that the centre of the stick is moving with a speed of $10 \mathrm{m} {\mathrm{s}}^{-1}$ and left end of stick, with a speed of $20 \mathrm{m} {\mathrm{s}}^{-1}$. Both points move vertically upwards at that moment. Then angular speed of the stick is

A ring of radius $R$ rolls without slipping on a rough horizontal surface with a constant velocity. The radius of curvature of the path followed by any particle of the ring at the highest point of its path will be:

A particle is revolving in a circle of radius $r$, having centre at $\mathrm{O}$, with uniform angular velocity$\omega .$

Choose the correct option(s):