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

$A$ ball of mass $m$ moving with velocity $v$ collides with a wall elastically as shown in the figure. After the impact,the change in angular momentum about point $P$ is:

$A$ uniform rod of mass $M$ and length $L$ has an impulse $J$ applied at right angles to one end. If the other end begins to move with speed $V$,the magnitude of the impulse is:

$A$ uniform rod of mass $8m$ and length $6a$ is placed on a horizontal table. Two point masses $m$ and $2m$ are moving with speeds $2v$ and $v$ respectively,as shown in the figure. They strike the rod and stick to it after the collision. Find the angular velocity of the rod about an axis passing through its center of mass.

Difficult
View Solution

The position vectors of two points are $2\hat i + \hat j + \hat k$ and $2\hat i - 3\hat j + \hat k$,and the linear momentum is $2\hat i + 3\hat j - \hat k$. The angular momentum is:

In an orbital motion,the angular momentum vector is

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