Recent content by serverxeon

Your example is not exactly correct. If you substituted $$a=b^2$$ then $$\int_0^1 a\, da = \int_0^1 {b^2\cdot2b}\,db$$ which is then the same... Anyway, Did you mean to say there is ONE set of infinite chords, or there are infinite sets of finite chords? Because you seem to suggest the former...

I am not too sure. Are they not the same? However, even if I ignore the different definition of average and solely look at the 'sum of all chords', I get (for angles) ##8R## and (for diamater) ##R^2\pi## Am I not simply summing up all possible chord lengths from 0, to 2R, then back to 0 again?

I would like to find the average chord length of a circle. And I have 2 methods, which gave different answers... [The chord is defined as the line joining 2 points on the circumference of the circle.] The general formula for a chord length is ##d=2R\sin(\delta/2)=2\sqrt{R^2-u^2}## Method 1...

In particular, i am solving part b. I pulled off a couple of formulas from a textbook, but I'm quite sure they are incorrect to apply here. Can anyone guide me? Below is my attempt.

er, nope. some pointers pls?

Homework Statement Assume a free particle, V=0, in a infinite potential square well between -L/2 and L/2 solve for the wave function for this particle. Homework Equations Time independent Schrödinger equationThe Attempt at a Solution After arriving at the second order differential equation...

It is known that the electric field component of the EM wave is given by E=E_{0}cos(kx-\omega t) How do I arrive at such a form? It is quite different from the standard sinusoidal equation of y=Acos(\omega t+\varphi) Any guidance? What does the kx-\omega t describe physically?

solved. my mistakes when pressing the calculator )=

I've drawn the following FBD (using D'alembert prinicple) [The N in my drawing is the F_A stated in the question] ---------------- Assuming my FBD has nothing wrong, am I right to say that I am free to choose my torque equation about ANY POINT? somehow my solutions vary depending on my point...

Here are the few equations i set up... which ultimately led to a wrong answer. (In my solution, subscripts A refers to the ramp, B refers to the rolling pipe) ---------- I have a feeling that the acceleration if pipe A isn't simply downwards at 30deg. Cos the ramp is rolling away, so...

ah, thanks for the pointer to the pdf. in his document, I do see the 'incorrect' equation shown (11.5.4) (Well that means it isn't incorrect!) ----------------- From my understanding, the negative indicate that the charge on the cap is decreasing with time I should be subbing I= - dQ/dt...

Vc = L dI/dt is incorrect! One of the terms need to be negative, so that when I shift all to one side I get a SHM D.E.! I can't make out where the negative went!

when coming to the capacitor, the E field inside the cap is pointing down. But my dl is going up. that gives a negative term

In a simple LC circuit, How do i set up the differential equation? Following Walter Lewin's teaching that 0) Use Maxwell-Faraday Equation instead of Kirchhoff Rule 1) if E field and dl are in the same direction, then I write a positive term. 2) There is no electric field in an...

Source: Engineering Mechanics Dynamics - Hibbeler ---------------------- My friends and I have discussed and have no idea how to solve. So we looked at the textbook. We were told to use this equation. In this equation, A/B means 'A respect to B' Also, the equation is derived based on an...