Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Angular Momentum

Key Questions

What is conservation of angular momentum?

Answer:

see below

Explanation:

For linear motion we have the conservation of linear momentum(mass $\times$ $xx$ linear velocity): that is in any system, providing no external forces act, the total linear momentum is always constant.

For rotational bodies we have another conservation law. Providing NO external Torques act, the total angular momentum
(moment of inertia $\times$ $xx$ angular velocity) is constant.

sjc · 1 · Apr 24 2018
What is angular momentum?

Answer:

Angular momentum is the rotational analogue of the Linear momentum.

Explanation:

Angular momentum is denoted by $\to L$ $vecL$ .

Definition :-

The instantaneous angular momentum $\to L$ $vecL$ of the particle relative to the origin $O$ $O$ is defined as the cross product of the particle’s instantaneous position vector $\to r$ $vecr$ and its instantaneous linear momentum $\to p$ $vecp$

$\to L$ $vecL$ = $\to r$ $vecr$ $\times$ $xx$ $\to p$ $vecp$

For a rigid body having fixed axis rotation , the angular momentum is given as $\to L = I \to ω$ $vecL=Ivecomega$ ; where $I$ $I$ is the Moment of Inertia of the body about the axis of rotation.

The net torque $\to τ$ $vectau$ acting on a body is give as the rate of change of Angular Momentum.

$:. sumvectau = (dvecL)/dt$

![)

Kalit Gautam · 2 · Apr 16 2018

Questions

Rotational Motion

View all chapters

Prev

Next