Recent content by whozum

  1. W

    Moving to Arizona & Taking a Year Off - 18 Yr Old Physics & Math Student

    So instead of one person relatively secure and one in trouble, we have, two in trouble? I think that's fairly counterproductive..
  2. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    No, I'm just using this as a tex notepad since no one was helping when I needed it. I'm good with all these. v = \lambda f \lambda = 4L v = 4L f f = \frac{v}{4L}
  3. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    Prove \left(\frac{ia - 1}{ia+1}\right)^{ib} = exp(-2b cot^{-1} a) and \sum_{n=1}^{N} \cos(2n-1) x = \frac{\sin 2n x}{2\sin x}}
  4. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    \alpha ^{x+n} 2 dy + \left( \alpha ^3 x^2 - 3 \alpha ^n y) dx = 0
  5. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    iii) (challenging) now consider a wave made from a superposition of modes: \sum_{n=1}^{\infty} a_n\cos(\omega_n t)\sin(\frac{2\pi n}{L} x) calculate the total energy of this wave and comment on your answer. I get the KE and PE each to be 0 by the expression in post 3. We have...
  6. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    \frac{T}{2} \sum_{n=1}^{\infty} \sum_{m=1}^{\infty} a_n a_m\cos(\omega _n t) \cos(\omega_m t) {\left(\frac{2\pi}{L} x\right)}^2 n m \int_0^L \cos \left(\frac{2\pi n}{L} x\right) \cos\left(\frac{2\pi m}{L} x\right) dx
  7. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    The differential equation modelling this system is given by: m\Ddot{x} + 2\beta \dot{x} + \omega^2 x = 0 With \beta \ and \ \omega defined as \beta = \frac{b}{2m} \ and \ \omega = \sqrt{\frac{k}{m}} with m being mass, k the characteristic constant of the physical system, and b...
  8. W

    How Do You Solve the Damped Oscillator Equation Using Newton's Second Law?

    Using Newton's 2nd Law for a damped oscillator: ma = -kx - \alpha x which is a second order linear DE. To solve it we use the trial integrating factor e^{\lambda x} [/tex] to come to the root equation mx^2 + \alpha x + k = 0 where we can find our two solutions to be r_{1} \ and...
  9. W

    Guess Where I Am? Phoenix Fun & Adventure

    You don't have to be mean.
  10. W

    Guess Where I Am? Phoenix Fun & Adventure

    She was pretty upset about that. It's not that bad out. Trib, tonight was your night but you lost it haha. We went to the drive in and almost watched a couple movies. Feel free to take us all out to dinner though o:) Smurf, pretty sure your hand doesn't have an STD. Both hands..
  11. W

    Guess Where I Am? Phoenix Fun & Adventure

    Shes in a hotel for the week, its working out pretty well.. and I say that in the least suggestive way possible. I'm on my way down there in a bit but don't think I'll be able to keep her company all day. We'll see. Any messages for her?
  12. W

    Guess Where I Am? Phoenix Fun & Adventure

    She's loving it, I unfortunately have to deal with it during the summer so I know how treturous it can be. I know that's spelled wrong.
  13. W

    Guess Where I Am? Phoenix Fun & Adventure

    It's a hookah bar/arabic restaraunt. She posted that at about 11:45 so it's not so late, the place is open til about 2ish but most restaurants are open til about midnight or so, unless its really chic.
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