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Vibration formulas

What are the relationships between frequency, amplitude (double) and acceleration?

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Effect of media on electric foce

I was thinking about the following: Assuming that you have NON SPHERICALLY SYMMETRIC charges and they are both in medium 1. Does it make a difference(whereby I am referring to the total force between...

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Electric field and electrolytes

Let me assume, that I have an arbitrary electric field. Is there any way to determine what happens to this electric field if it is appolied to a charge in let me say water with natrium chloride in it?...

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Moment of Inertia of mass

Hello, I am trying to find moment of inertia of various random 3D shapes and I have few general questions. I take very thin 'plates' of the shape, calculate moment of inertia of that area, multiply it...

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Work done by gas expansion

In my textbook W=∫p.dV is only proved for a syringe with a piston. This is quite easily done but the book never explains how it extrapolates to the general situation for a gas expanding in any...

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How did they get this precession frequency of this gyroscope?

To summarize: 1. The solenoid is supplied with an AC voltage. 2. Produces an AC magnetic field out of the page 3. Exerts an AC magnetic force on the Nb-Plate that's placed just outside of one end of...

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Derivation of PEcos(θ) for diploles in constant Efield?

I know that the potential energy of a dipole in a constant electric field is P(dot)E=PEcos(θ), but I cant seem to find how they got here; its not in my textbook. If anyone knows why please tell me.

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Properties of this electric field

I have the following vector field:[itex]E=E_0(-sin(\phi),cos(\phi),0)^T[/itex] and [/itex]E_0[/itex] is some constant. Does anybody here have an idea what this electric field does to a metallic sphere...

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Magnetic length of a bar magnet

We just started magneto statics in school and were told about the use of magnetic monopoles for problem-solving reasons. So we were told that the magnetic length of a bar magnet differs from its...

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Fundamental relationship between thermodynamics and stat. mechanics

From the Greiner (Thermodynamics and statistical mechanics) on the relationship between the number of microstates of two systems and the total entropy: ...for two statistically independent systems the...

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Charge screening by electrolytes

if I have a not necessarily homogenous electric field of a charge distribution in an electrolyte and i want to find out what the electric field at some position in the electrolyte is. is there any...

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Floating and Sinking in a Liquid

This seems to be a relatively simple question, yet I'm not sure of the answer. A balloon filled with helium gas floats in air. If I submerged a balloon or container in a liquid (e.g. water), is there a...

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polarizability if a molecule in raman scattering

Hello. I'm reviewing background information on Raman scattering and I've noticed that the polarizability scales with v+1 for Stokes transitions and v for anti-Stokes. Why is this and what assumptions...

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Upward force on a object spinning on on string

Hi everyone, I was wondering what forces would counteract the force of gravity on an object which is spinning horizontally on a string. I realize its a component of the tension, but how does the force...

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Why does the speed of the water wave decreases as depth decreases?

Why does the speed of the water wave decreases when the water wave approaches the shallower region? Is it because of the frictional force between the water molecules and the seabed? I have searched the...

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Positive source for electromagnetic energy

We know that the conservation of electromagnetic energy is expressed via the continuity equation below: [itex] \large{\frac{\partial u}{\partial t}}+\vec{\nabla}\cdot\vec{S}=-\vec{J}\cdot\vec{E}...

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Electric field in two materials

Hi Does anybody know how to find out the potential energy of two equally heavy, equally big and equally charged particles that are placed at the boundary layer of two different media(for example such...

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Entropy and the Closed System

So in my physics textbook, the 2nd law of thermodynamics stated in terms of entropy reads "the entropy of a closed system can never decrease." Now, shouldn't it indicate the entropy of an isolated...

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Calculating Moment of Inertia (2D rectangles)

Hi everyone. i'm presently improving a 2D physics engine i wrote, with angular dynamics. Moment of inertia is becoming a big sticking point for me. However, given that my applications are fairly...

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Hollywood Nonsense: Is it possible to "overcome" the square-cube law?

I'll admit up front: my knowledge of physics is sub-fundamental. If any questions I ask seem braindead ignorant, know that it comes from a genuine lack of understanding. Apologies in advance. For those...

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