Author(s)

Philipp Kornreich^1,2

¹1090 Wien, Austria.
²King of Prussia, PA, USA.

The motion of two point objects at the end of a spring is analyzed. The objects interact by an elastic wave propagating through the spring. A new comprehensive method, Reaction Mechanics, for the analysis of this motion is used.  This analysis is valid when the propagation of the interaction through the spring wire takes less time than the period of the oscillating frequency. The propagation delay couples the oscillating and center of mass motions. If the masses are equal, the center of mass velocity is a constant, and the objects oscillate with a frequency which is a modification of the oscillation frequency with no delay. If the masses are not equal, the center of mass also oscillates. In the case of zero delay, the motion of the objects reverts to the motion of a Simple Harmonic Oscillator.

Lagrangian, Equation of Motion, Hamiltonian, Delay, Oscillation

Kornreich, P. (2018) Delay Harmonic Oscillator. Journal of Applied Mathematics and Physics, 6, 1425-1433. doi: 10.4236/jamp.2018.67119.