1. Chapter 15 Oscillations In this chapter we will cover the following topics: Displacement, velocity, and acceleration of a simple harmonic oscillator Energy of a simple harmonic oscillator Examples of simple harmonic oscillators: spring-mass system, simple pendulum, physical pendulum, torsion pendulum Damped harmonic oscillator Forced oscillations/resonance (15-1)

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8. In the small-angle approximation we assumed that  << 1 and used the approximation sin   . We are now going to decide what is a “small” angle, i.e., up to what angle  is the approximation reasonably accurate?  (degrees)  (radians)sin  50.0870.087 100.1740.174 150.2620.259 (1% off) 200.3490.342 (2% off) Conclusion: If we keep  < 10 ° we make less than 1 % error. (15-8)

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