A disc of mass $M$ and radius $R$ is rolling with angular speed $\omega $ on a horizontal plane as shown. The magnitude of angular momentum of the disc about the origin $O$ is
$\frac {1}{2} MR^2\omega $
$MR^2\omega $
$\frac {3}{2} MR^2\omega $
$2MR^2\omega $
Explain Angular momentum of a particle and show that it is the moment of linear momentum about the reference point.
Write $SI$ unit of angular momentum and dimensional formula.
A particle of mass $m$ is moving along the side of a square of side '$a$', with a uniform speed $v$ in the $x-y$ plane as shown in the figure
Which of the following statement is false for the angular momentum $\vec L$ about the origin ?
A particle of mass $m = 5$ is moving with a uniform speed $v = 3\sqrt 2$ in the $XOY$ plane along the line $Y = X + 4$ . The magnitude of the angular momentum of the particle about the origin is .......
$A$ paritcle falls freely near the surface of the earth. Consider $a$ fixed point $O$ (not vertically below the particle) on the ground.