Define angular momentum.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Angular momentum $(L)$ of a particle with respect to a point is defined as the cross product of its position vector $(r)$ and its linear momentum $(p)$.
Mathematically,it is expressed as: $L = r \times p$.
Since $p = mv$,where $m$ is the mass and $v$ is the velocity of the particle,the angular momentum can also be written as: $L = r \times (mv) = m(r \times v)$.
The $SI$ unit of angular momentum is $\text{kg} \cdot \text{m}^2/\text{s}$ or $\text{J} \cdot \text{s}$.

Explore More

Similar Questions

The units of angular momentum are

$A$ particle of mass $1 \ kg$ is moving with a linear velocity of $2 \ ms^{-1}$ parallel to the positive $X$-axis. During this motion,its minimum distance from the origin is $12 \ cm$. The angular momentum of this particle about the origin is ....... $Js$.

$A$ particle of mass $2\, kg$ is moving such that at time $t$,its position,in meters,is given by $\vec{r}(t) = 5\hat{i} - 2t^2\hat{j}$. The angular momentum of the particle at $t = 2\, s$ about the origin in $kg\, m^2\, s^{-1}$ is:

Two particles,each of mass $m$ and speed $v$,travel in opposite directions along parallel lines separated by a distance $d$. Show that the angular momentum vector of the two-particle system is the same whatever be the point about which the angular momentum is taken.

An angular impulse of $20 \,Nms$ is applied to a hollow cylinder of mass $2 \,kg$ and radius $20 \,cm$. The change in its angular speed is ............. $rad/s$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo