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Results tagged with angular-momentum
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user 282830
The conserved quantity arising from a rotational invariance. Combine with rotational-dynamics for the classical mechanics approach and quantum-mechanics for the QM interpretation
1
vote
Accepted
Formula in Theory of Complex Spectra. II of Giulio Racah
Staring from the given definition of $ f(m_{1}, m_{2} ; j ,m)$:
\begin{multline} \tag{1}
f(m_{1}, m_{2} ; j ,m)=f(m_{1}, m_{2} ; j, j -u)=\\
A_{j} \sum_{t}(-1)^{t}
\left( \begin{array}{l}
u \\
t …
- 4,314
1
vote
Bowling ball rolling with slipping at the instant it stops
Quoting your word: "but I don't understand how this can happen as friction will be pointing in the same direction as velocity."
The bold sentence is not correct. The kinetic friction is opposite to yo …
- 4,314
1
vote
Accepted
What's the definition of angular momentum on a two-body system?
The angular momentum $\vec{L}$ and torque $\vec{\tau}$ are both dependent on the choice of the origin. But the relation between them is not dependent on the choice of coordinate. Angular momentum is n …
- 4,314
0
votes
Why is angular momentum conserved in a central field?
Your reasoning about the angular momentums is corrrect. What is needed is an interpretation: note that $\frac{d\vec{L}}{dt} = \vec{\tau}$, and both $\vec{L}$ and $\vec{\tau}$ are dependent on the cho …
- 4,314
0
votes
About the calculation of the Spin-orbit correction for the Hydrogen atom
You are mixed up the wave funciton, the radial part and the angular part, A wave fcuntoin spacified by indexes $n$, $l$, $m$:
$$ \tag{1}
\Psi_{nlm}(r, \theta, \phi) u_s(\theta, \phi) = f_{nl}(r) Y_{l …
- 4,314
2
votes
Accepted
Confusion regarding angular momentum of a tilted rod
Your projection of the inertial moment into the rotational axis, $\hat a$, is not correct.
Starting with your inertial moment in your $\hat i$ (along the rod) and $\hat j$ (perpendicular to the rod) c …
- 4,314
2
votes
Accepted
Conservation of angular momentum of disk and block
A conceptual error: The parallel axis theorem is used to find the inertial moment about an rotating axis which is not the CM. In this problem, the disk is not rotating about the CM (for rock and disc …
- 4,314