Cant seem to plot this correctly using python numpy and matplotlib
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Cant seem to plot this correctly using python numpy and matplotlib

Transcribed Image Text:1. HARMONIC AND ANHARMONIC OSCILLATORS
This is a modified version of chapter 3 problem 4 in your textbook. For simple harmonic motion, the equation of
motion is given by
d²x
dt²
=-kxa
with a = 1.
Write a program that uses the Euler-Cromer method to solve for x(t). For convenience, let a = k = 1. Show
that the period of the oscillations is independent of the amplitude of the motion (this is a key feature of simple
harmonic motion!). Use several different regularly-spaced values of amplitude and show that the amplitude
and period are independent of each other.
Write a program that uses the Euler-Cromer method to solve for x(t) when k = 1 but a = 3 and plot a
representative solution for x(t). Calculate the period of the oscillation for a variety of amplitudes. Show that
the period of oscillation is now dependent on the amplitude of the motion (this is called anharmonic motion).
Describe the anharmonic behavior that you observe. Provide an intuitive, qualitative discussion of why this
behavior is observed.
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