Recent content by malindenmoyer

  1. M

    Why Does the Factor of 1/2 Appear in Dynamic Pressure Calculations?

    I get it now--I'm not used to a 'physicist's' calculus. Would it be proper to simply multiply each side of the original equation by 'dx' and integrate each side with the respective variables? This leaves (r*u^2)/2=-p -> (r*u^2)/2+p=0 Is there a reason why this method is not preferable?
  2. M

    Why Does the Factor of 1/2 Appear in Dynamic Pressure Calculations?

    Please refer to this website: http://www.grc.nasa.gov/WWW/K-12/airplane/dynpress.html" In the "Simplify" step, where does the factor of 1/2 come from? I must be missing something simple... Thanks for the help!
  3. M

    Piecewise Quadratic Approximation

    Yes that was my reasoning as well. I just thought it was strange the problem dedicated two parts to essentially doing one thing... Now that I have the piecewise function...how would I go about computing the maximum of |f(x)-P(x)| on [0,\pi]
  4. M

    Piecewise Quadratic Approximation

    Yes, I understand that...but what does it mean by a CONTINUOUS piecewise. Here is what I have so far, which suffices for the first part of the problem (I think): [PLAIN]http://people.tamu.edu/~malindenmoyer/tamu/sin4x_plot.png What do I do next? That is, to come up with a continuous...
  5. M

    Piecewise Quadratic Approximation

    Yes, that is what I was thinking. My question comes from the fact that there are two parts to the problem: 1) find a piecewise quadratic, which can be done by the method you suggested, and 2) find a continuous piecewise, where each piece is a polynomial. I hope you can see where my confusion...
  6. M

    Piecewise Quadratic Approximation

    I feel like that would be the best way to do it. However, regarding the continuous piecewise, how would you go about doing that?
  7. M

    Piecewise Quadratic Approximation

    Thanks for the reply, and sorry about the double post. I hadn't realized I had posted the question in the wrong forum per the first thread's instructions. Regarding your reply, what does it mean by "continuous piecewise function?" And why would finding the second order Taylor expansion of...
  8. M

    Piecewise Quadratic Approximation

    Could somebody explain what exactly a "piecewise quadratic approximation" is? Problem Statement Find a piecewise quadratic approximation P(x) of f(x), where f(x)=\sin{4x}\; on \; [0,\pi] Plot f(x) and P(x) on [0,\pi]. What is the maximum value of the following: |f(x)-P(x)| \...
  9. M

    Piecewise Quadratic Approximation

    Could somebody explain what exactly a "piecewise quadratic approximation" is? Problem Statement Find a piecewise quadratic approximation P(x) of f(x), where f(x)=\sin{4x}\; on \; [0,\pi] Plot f(x) and P(x) on [0,\pi]. What is the maximum value of the following: |f(x)-P(x)| \; on \;[0,\pi]...
  10. M

    Calculating Self-Inductance and Capacitance in Parallel Plate Transmission Lines

    Two very large parallel conducting plates of very large length l, and width w are separated by a distance d. A current I=Jw flows to the right in the lower plate and to the left in the upper plate. Each of the two currents produces a magnetic field \frac{B}{2} between the two plates. (a)...
  11. M

    Special Relativity - Relativistic Dynamics

    I think that is the solution...it's a little confusing what to refer as vx' and vx...but I think I understand it now. Thanks!
  12. M

    Special Relativity - Relativistic Dynamics

    My only question now is that S' is moving to the left relative to S, and the particle on the left is moving to the right, both with velocity u. However, this implies that the numerator would essentially cancel out, as the signs are opposite. What am I missing?
  13. M

    Special Relativity - Relativistic Dynamics

    I am trying to understand a section in a textbook I have regarding Special Relativity, specifically deriving an expression for what is known as "relativistic mass", in order to find an expression for "relativistic momentum". I have attached the pages in the book which are giving me trouble, more...
  14. M

    Current Through Resistor in Rectangular Loop

    I'm sorry I didn't make it clear, but R2 is sliding with velocity V to the right. l is the length of the sliding rod. The problem was: calculate the current in R2.
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