Average Potential Energy/ Oscillator
Hi, i regard a single harmonic oszillator: $$H_{1}=\frac{p^{2}}{2m} + \frac{m \omega^{2}}{2} x^{2}$$ I know the partition function of the oszillator is: $$Z=\frac{kT}{\hbar \omega}$$ so the probability...
View ArticleWhat to build for high school project?
I'm doing a high school physics project on particle accelerators. I know it's not realistic to build an actual particle accelerator, but I'd love to be able to build some model of something that works...
View ArticleNascar, Left Turns, & Torque
Nascar races tend to use left turns. Why is this? Well my reasoning behind this would be that when an object (like a wheel) rotates counter-clockwise, it generates torque in a direction perpendicular...
View ArticleWould a magnetic charge have the same strength as a electric charge?
If magnetic charges existed, would the strength of the field be the same as a electric charge? Would you be able to plug it in to the equation of coulomb's law? If so, what would the constant be? The...
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Reflection of a plane mirror at a focal point
I am trying to interface a detector system to a FT-IR spectrometer. The spectrometer uses off-axis parabolic mirrors to focus light in the center of a sample compartment, where it diverges and again...
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Analytical equation for Magnetic Levitation
Hello everyone, So i've stumped uppon some problems during my project. It is not my homework or anything, so I didn't post it there. I've built a magnetic levitation system, which could lift up to 2kg....
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SHM in a potential well
In the attachment below some form of link is made between F(x+xo) and dU/dx I understand F=-dU/dx but I do not understand the derivation shown to prove that the force constant is equal to the second...
View ArticleWeight vs Torque relation
I am trying to figure out the torque vs weight relationship. I am working on a software project where I want to create an application to determine the maximum payload on vehicle with rubber tyre on...
View ArticleName of representation of vectors perpendicular to the plane
Most physicists are familiar with the representation of vectors perpendicular to the plane ([itex]\otimes[/itex] and [itex]\odot[/itex]) which look like the fletching or head of an arrow, commonly used...
View ArticleHow to solve 2nd order diff. equation for simple harmonic motion
In my physics class we're talking about LC and LRC circuits, and the equations are analogous to those for SHM. However, I don't see how x=Acos(ωt+[itex]\varphi[/itex]) satisfies m(d^2x/dt^2)+(k/m)x=0....
View Articleintegration/ boundary conditions
Hi guys, I regard a particle in an Potential. I have callculated the partition function and the probability density function [itex]F_{1}[/itex]. $$ H= \frac{p^{2}_{x}}{2m} + \frac{p^{2}_{z}}{2m}+...
View ArticleTensor Equations for Anisotropic Materials
Hi, I am in the middle of revising for and a classical electromagnetism exam, and I've hit a wall when it comes to tensor equations. I know that for anisotropic materials: [itex]J=σE[/itex] and...
View ArticleTwo parallel springs, frequency change?
Ok, you guys! Please note that this is NOT a homework question but merely something that's been bothering me for a while. We have a vertical spring with a hanging mass M. We pull the mass down and let...
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relative velocities
I got this off a textbook, but the solution seems to be wrong (after discussion with some of my friends). Anyone has any idea how to solve? Figures from Engineering Mechanics Dynamics - Hibbeler
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When can Gauss' theorem be applied?
I'm currently reading an electromagnetism text book and it has said that Gauss's theorem can only be applied on: Concentric spheres Concentric cylinders Parallel planes In these cases the "symmetry...
View ArticleSpacecraft path with polar coordinates
There is a circular gate rotating at a constant angular speed of ω. The circular gate has a tunnel across its diameter. The mission is to pass through the gate. (That is, come in one side of the gate,...
View ArticleElectric potential convention
Hello, The electric potential is defined as: $$ \phi(\vec{r}) = \int d^3r' \frac{\rho(\vec{r}')}{|\vec{r} - \vec{r}'|}. $$ My question is, for solving for the potential inside of a charged solid sphere...
View ArticleHow to find the strength of an electromagnet
I have created a simple electromagnet that is just an iron railroad spike with some thick insulated wire wrapped around it. This is connected to a dodgy, old motorbike battery (I'm thinking of being a...
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Find Induced Emf in this Coil
A flat, rectangular coil of dimensions L and w is pulled with uniform speed v through a uniform magnetic field B with the plane of its area perpendicular to the field (the figure (Figure 1) ). How is...
View Articlethe action is not a well defined function
The action of moving from q_a to q_b in time t is not a well defined function for example, consider the harmonic oscillator if q_a= q_b, then only for t being the multiple of the harmonic oscillator...
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