Program 1
Motion of a Harmonic Oscillator
Python 3.11
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Mathematical Problem Formulation
This Python program simulates the motion of a one-dimensional harmonic oscillator using numerical integration (Euler's method). The harmonic oscillator follows Hooke's Law, where the force acting on the object is proportional to its displacement and is given by:
\[ F = -kx \]
Where:
- \( F \) is the force acting on the object
- \( k \) is the spring constant
- \( x \) is the displacement of the object from the equilibrium position