Recent content by kamion42

  1. K

    Poisson Summation in Heat Equation (Polar Coordinates)

    I figured it out! There's an error in the text where they forgot to leave the ##\frac{1}{2\pi} ## in the numerator, and also I made an error in the summation earlier (counted zero twice!).
  2. K

    Will the trains ever be at the same distance from the origin?

    Ahh...I apologize, I forgot to add one more term to the equations: ##x_{A}(t) = x_{0,A} + v_{0,A}t + \frac{1}{2}a_{A}t^{2}## ##x_{B}(t) = x_{0,B} + v_{0,B}t + \frac{1}{2}a_{B}t^{2}## We need to take into account the initial displacement between the two trains. You should get that the trains...
  3. K

    Will the trains ever be at the same distance from the origin?

    Maybe you should start by trying to write the kinematic equations for both Train 1 and Train 2 given their velocities in terms of time. Then calculate the difference in distance as ##x_{A} - x_{B}## The introductory physics equation you are looking for is: ##x(t) = v_{0}t +...
  4. K

    Motion along a curved path -- introductory

    Your two equations are: ##\Delta X = (55 m/s) \times \cos(\theta)t## ##\Delta Y = (55 m/s) \times \sin(\theta)t - (4.9t^{2}) ## This is a system of two equations with two variables, you solve through substitution or any other algebraic way of solving systems of equations. One such way is...
  5. K

    Poisson Summation in Heat Equation (Polar Coordinates)

    Homework Statement I'm currently trying to follow a derivation done by Shankar in his "Basic Training in Mathematics" textbook. The derivation is on pages 343-344 and it is based on the solution to the two dimensional heat equation in polar coordinates, and I'm not sure how he gets from one...
Back
Top