1.9: Chapter Checklist

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You should now be able to:

1. Analyze the physics of a harmonic oscillator, including finding the spring constant, setting up the equation of motion, solving it, and imposing initial conditions;

2. Find the approximate “spring constant” for the small oscillations about a point of equilibrium and estimate the displacement for which linearity breaks down;

3. Understand the connection between harmonic oscillation and uniform circular motion;

4. Use complex arithmetic and complex exponentials;

5. Solve homogeneous linear equations of motion using irreducible solutions that are complex exponentials;

6. Understand and explain the difference between frequency and angular frequency;

7. Analyze the oscillations of LC circuits;

8. Compute physical quantities for oscillating systems in SI units

9. Understand time translation invariance in nonlinear systems.