1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Harmonic motion problem

  1. Nov 21, 2004 #1
    I am confused by the following problem. Any help / hints would be greatly appreciated! I understand that the velocity equation is the derivative of the position function... i just don't understand how to derive these first / last equations. :bugeye: THANKS!

    The initial position and initial velocity of an object moving in simple harmonic motion are xi, vi, and ai; the angular frequency of oscillation is (omega).

    a) Show that the position and velocity of the object for all time can be written as:

    x(t) = xi cos(omega * t) + (vi / (omega) )*sin (omega * t)

    v(t) = - xi (omega)sin(omega * t) + vi*cos(omega * t)

    b) If the amplitude of the motion is A, show that

    v^2 - ax = vi^2 - aixi = (omega)^2A^2
     
  2. jcsd
  3. Nov 22, 2004 #2
    Here's a hint. Consider the substitution of initial conditions in the solutions for displacement and velocity.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Harmonic motion problem
Loading...