Recent content by zengodspeed

  1. Z

    Two like capacitors in parallel

    So is there not some limit to how much charge can be achieved through this process?
  2. Z

    Two like capacitors in parallel

    Given that the potential across the capacitors is the same and the capacitance is the same it seems nonsensical to assume that the charges will be anything other than identical. However, I understand that capacitors in parallel can be seen as equivalent to a single capacitor with plates of area...
  3. Z

    Two like capacitors in parallel

    I'm having a little trouble understanding capacitors in parallel and series. I understand that if there are two capacitors in a circuit with a potential difference Vab then the potential difference across the capacitors is also Vab. Every example I have seen have been for two capacitors with...
  4. Z

    Calculating Mass of a Vibrating String Using Known Quantities

    The max value is equal to Aω. Therefore you can solve for ω by taking the ratio of the vy,max and the amplitude.
  5. Z

    Calculating Mass of a Vibrating String Using Known Quantities

    The maximum value of the right hand side would be Aω if x and t were chosen so that sin(kx) and cos(ωt) were both equal to 1.
  6. Z

    Calculating Mass of a Vibrating String Using Known Quantities

    That the max vy is equal to the derivative of the second equation when y=0?
  7. Z

    Calculating Mass of a Vibrating String Using Known Quantities

    Hi, sorry about that. The string is fixed at both ends.
  8. Z

    Calculating Mass of a Vibrating String Using Known Quantities

    Homework Statement A second harmonic standing wave has the known quantities of Amplitude (max y at antinode) A, maximum velocity (y=0 at antinode) v, string length L, tension in the string T. Given that we know that it is second harmonic, we can assume that λ = L How can one determine the...
  9. Z

    Using Snell's Law for Brachistochrone Project

    Hi, thanks again for the help. We have been working at the problem this afternoon but we don't understand how to relate ##C## and ##R##. We have managed to find a parametric equation that looks very much like our curve by playing around with the variables, so we have a decent estimate of the...
  10. Z

    Using Snell's Law for Brachistochrone Project

    Thanks for the help again, it's going great. Just one more question. We have the graph now, and we need to find a way to check the validity of our results. Our first thoughts were to find the equation of the curve (being a cycloid) and check for the error margin of our results. However, the...
  11. Z

    Using Snell's Law for Brachistochrone Project

    Okay thanks, it seems that's the way to go. Thanks for all the help.
  12. Z

    Using Snell's Law for Brachistochrone Project

    That's great, thanks for all the help! I have solved for the intervals I want and have found the slope for each section. This is a little off topic but do you know of any graphing software where I would be able to input the slope values and the y coordinates to make a sketch of the curve...
  13. Z

    Using Snell's Law for Brachistochrone Project

    For a decreasing index of refraction velocity will continually increase, therefore we know that: v1<v2 I have realized where my problem lies. At the beginning, when the object first starts to move, the path will be tangent to the vertical, which implies that: sinΘ1 = 0 I cannot work with...
  14. Z

    Using Snell's Law for Brachistochrone Project

    Hi all, I'm after a little guidance for I do not know what is going wrong. I understand that for Johann Bernoulli's proof of the brachistochrone problem he used refraction of light and Fermat's principle of least time. I have decided to do a project on the subject, in which I am dividing up a...
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