Angular Momentum - Practice Questions & MCQ

A particle of mass $m$ moves along line PC with velocity $\nu$ as shown. What is the angular momentum of the particle about P?

A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The height of the table from the ground is 0.8 m. If the angular speed of the particle is 12 rad s^-1, the magnitude (in kg m²s^-1) of its angular momentum about a point on the ground right under the centre of the circle is :

Angular momentum of a single particle moving with constant speed along circular path :
 

The position vector of 1 kg object is $\overrightarrow{r}=(3\hat{\mathrm{i}}-\hat{\mathrm{j}})\mathrm{m}$ and its velocity $\overrightarrow{\mathrm{v}}=(3\hat{\mathrm{j}}+\hat{\mathrm{k}}){\mathrm{ms}}^{-1}$. The magnitude of its angular momentum is $\sqrt{\mathrm{x}}\mathrm{Nm}$ where X is:

A small particle of mass $m$ is projected at an angle $\mathrm{\Theta }$ with the x-axis with an initial velocity $v_0$ in the $x$-y plane as shown in the figure. At a time

$t<\frac{v_0\sin \mathrm{\Theta }}{g}$

the angular momentum of the particle is

where $\hat{i},\hat{j}$ and $\hat{k}$ are unit vectors along $\mathrm{x},\mathrm{y}$ and z -axis respectively.

When a dancer folds her arms she spins faster on ice. This is due to 

A solid homogeneous sphere is moving on a rough horizontal surface, partly rolling and partly sliding. During this kind of motion of this sphere:

The term moment of momentum is called

If $\overrightarrow{\mathrm{L}}$ and $\overrightarrow{\mathrm{P}}$ represent the angular momentum and linear momentum respectively of a particle of mass ' m ' having position vector $\overrightarrow{\mathrm{r}}=\mathrm{a}(\hat{\mathrm{i}}\cos \omega \mathrm{t}+\hat{\mathrm{j}}\sin \omega \mathrm{t})$. The direction of force is