$A$ mass '$M$' is moving with constant velocity parallel to the $X$-axis. Its angular momentum with respect to the origin is

$A$ uniform rod of mass $m$ and length $l$ is moving with velocity $u$ in a direction perpendicular to its length. $A$ blow of impulse $J$ is applied in the direction of $u$,perpendicular to its length at a distance $l/4$ from its center at point $P$,such that the instantaneous velocity of point $P$ is $2u$. Then the velocity of its center of mass will be:

$A$ particle of mass $m = 5$ units is moving in the $XOY$ plane along the line $Y = X + 4$ with a uniform speed $v = 3\sqrt{2}$ units. The magnitude of its angular momentum about the origin is ...... units.

The angular momentum of a particle is:

Obtain the relation between torque of a system of particles and angular momentum.

$A$ particle moves along a circular path with decreasing speed. Hence,