Solution Found!
The general solution for a two-dimensional isotropic
Chapter 5, Problem 5.15(choose chapter or problem)
The general solution for a two-dimensional isotropic oscillator is given by (5.19). Show that by changing the origin of time you can cast this in the simpler form (5.20) with 6 = (Sy 6x. [Hint: A change of origin of time is a change of variables from t to t' = t to. Make this change and choose the constant to appropriately, then rename t' to be t.]
Questions & Answers
QUESTION:
The general solution for a two-dimensional isotropic oscillator is given by (5.19). Show that by changing the origin of time you can cast this in the simpler form (5.20) with 6 = (Sy 6x. [Hint: A change of origin of time is a change of variables from t to t' = t to. Make this change and choose the constant to appropriately, then rename t' to be t.]
ANSWER:Step 1 of 2
The displacement along x direction is
The displacement along y direction is
The angular speed is
The amplitude along x direction is
The amplitude along y direction is
The phase along x direction is
The phase along y direction is
The time is t
The following equation is the general solution of 2-D isotropic oscillator is.