Is Angular Momentum Constant in the Body Frame of a Rigid Body?

Ahmes
Messages
75
Reaction score
1
It might be a stupid question but I do want to make sure of that:
Angular momentum of a rigid body (such as a disc) is a constant vector in the lab frame.
It is a vector in the body frame too, is it constant in the body frame?

I refer to simple bodies with 3D rotation such as a rotationg disc or a heavy top.

Thanks in advance.
 
Physics news on Phys.org
I am truly a stupid person - in its own frame a body does not rotate - right?
 
one can calculate the angular momentum about any point on the body and it will be different about any point . i mean if L1 is angular momentum about one point and L2 is angular momentum about any other point (both the points are on body) then L1 will not be equal to L2 . To calculate angular momentum about any point on the body just find the product of angular velocity of the body and the MOI about that point (think why!)
 

Thread 'Please tell me where I am going wrong in this integral'

##|\Psi|^2=\frac{1}{\sqrt{\pi b^2}}\exp(\frac{-(x-x_0)^2}{b^2}).## ##\braket{x}=\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dx\,x\exp(-\frac{(x-x_0)^2}{b^2}).## ##y=x-x_0 \quad x=y+x_0 \quad dy=dx.## The boundaries remain infinite, I believe. ##\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dy(y+x_0)\exp(\frac{-y^2}{b^2}).## ##\frac{2}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,y\exp(\frac{-y^2}{b^2})+\frac{2x_0}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,\exp(-\frac{y^2}{b^2}).## I then resolved the two...
View full post »

Thread 'Number of quantum accessible states of a particle given T, N?'

It's given a gas of particles all identical which has T fixed and spin S. Let's ##g(\epsilon)## the density of orbital states and ##g(\epsilon) = g_0## for ##\forall \epsilon \in [\epsilon_0, \epsilon_1]##, zero otherwise. How to compute the number of accessible quantum states of one particle? This is my attempt, and I suspect that is not good. Let S=0 and then bosons in a system. Simply, if we have the density of orbitals we have to integrate ##g(\epsilon)## and we have...
View full post »

Similar threads

Problem in understanding angular momentum of a rigid body
Replies
10
Views
2K
I Frame Transformation in rigid bodies
Replies
4
Views
1K
I Axial angular momentum calculation
Replies
12
Views
1K
I Angular momentum of an atom within a rigid body in motion
2
Replies
61
Views
4K
Precession of Rotating Rigid Body from Two Different Frames
Replies
2
Views
2K
Relative Body Angles of a Human Moving Through Space
Replies
2
Views
1K
Rigid Body Motion: Determing Angular Momentum Equations
Replies
5
Views
3K
I Effects of External Torques on the Angular Momentum of Asymmetric Bodies
Replies
3
Views
2K
Rigid Body- Derivation of Momentum Equations
Replies
2
Views
3K
I Rigid body mechanics and coordinate frames
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top