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capacitor -- Work done to charge it up

If we imagine a capacitor as two conductors held a distance d apart from each other, we can find easily that the total charge and the potential are proportional: Q = CV To find the energy stored in a...

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First sem. calc physics: Cable tension (vectors and acceleration)

So, I'm trying to understand how tension works between a cable. No, not homework. A book example. I have the answers. a = 0.679 m/s2 t = 12s Quote: A 70-kg climber finds himself dangling over the edge...

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Explaining Avogadro's Law using kinetic theory

So far I have found a kinetic-theory explanation of the Boyle's Law, Charle's Law, and Pressure-Temperature Law. For example, for the pressure-temperature law: increasing the temperature of a gas while...

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Formulation rigid body constraint

Hello I need some help with formulating the constraint force for a sliding and rotating box. The scenario is: A box is sliding down a slanted table. The center of gravity has passed the edge of the...

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Interpretation of grand potential.

Hello! I understand Gibbs energy and Helmholtz energy, but how is grand potential to be interpreted and where is it useful? For instance, Gibbs energy is the maximum amount of energy that can be used...

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Moment Of Inertia of broken disk or ring confusion

We all know that M.I of a Uniform rigid rod about an axis perpendicular to it's length and passing through it's center is MLsquare/12.Where M is mass and L is length of the rod. If it is broken to half...

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External driving force on "blackbox" system: frequency response

Easy question: I have a blackbox system (it's actually the Earth, but we can just treat it as a blackbox) driven externally by a periodic sinusoidal force (the Sun). If the driving force has a period...

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kinematics - average velocity

Hello, I have problem with this example. I don't speak English very well, so please forgive me if something isn't quite enough defined - as it should be in English Physics terminology. The train moves...

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Hamiltons principle

I have some trouble understanding how my book introduces the variational formulation of mechanics. On the attached file I have stipulated with red a part, which I do not understand at all. What is the...

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Classical physics and Group theory

You know that the current theories in particle physics are expressed in the language of group theory and the symmetries of the theory describe its properties I don't know how is that but my question...

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Properties of reflected light

This may sound stupid, but why when I shine a laser pointer at a mirror and reflect in onto another mirror back and forth, the points of light make a parabola when the mirrors are tilted in such a way...

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Moment of Inertia of a body with linearly increasing density?

A thin wire of length L and uniformly density ρ is bent into a circular loop with center at O.The moment of inertia of it about a tangential axis lying in the plane of loop is. Ans : Mass M is not...

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Why cant I get conservation of energy here

Okay consider this system one dimensional system: We have a positive charge at the origin. Far out at infinity on the x-axis we have a positive charge and at minus infinity on this minus x-axis we have...

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Determining angular velocity radius and velocity of the center of rotation

Hey, I am trying to solve the following problem: va=vr+ ω × rra vb=vr+ ω ×(rra+rab) vc=vr+ ω × (rra+rac) I know the vectors va, vb, vc, rab and rac and I want to know the angular velocity vector, the...

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visualizing field lines with moving current

Let's say I have a circle filled with positive charges. Some distance away I have an identical circle filled with negative charges. Since the distribution is uniform in the circles, I can just use the...

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Calculating mutiple forces on a body

Hi I am making physics engine (computer) and i have some problems with interpretating multiple forces on one body. On the fourth car (on right) there are two forces acting on two rear wheels,...

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Can't seem to integrate this rectilinear motion equation.

Hi, so I have a question where it asks me to find the distance between t = 0 and t = 60 for the equation v = 1/6(t(60 - t)). First I had to find the values of t which the object moving was stationary,...

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Spring Vibration Abilities

Hi all, I have a bit of a practicality problem here I was hoping I could get community consensus regarding. This question revolves around vibration throughout a mechanical setup and I haven't exactly...

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Electric field boundary equation implication at air/earth interface

From an EM textbook (dealing with an above surface time varying magnetic field source): Primary field: Field artificially produced. Secondary field: Field produces by the charge/current created by the...

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Average Acceleration (gravity question)

Hello. I was doing some physics and I came across a problem involving gravity. The problem was finding out how long (in disregaurd to atmosphere) long (time) it would take for a body to reach earth....

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