- Simple harmonic motion (SHM) is a special type of oscillation
- SHM occurs when a system has a stable equilibrium, and a restoring force which is linearly proportional to the distance from that equilibrium
- Amplitude controls the maximum displacement from equilibrium
- Angular frequency controls the rate of oscillation
- Phase angle specifies the conditions at time = 0
- The square of angular frequency is equal to the force constant of an oscillator, divided by its mass

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We can write this requirement for SHM in another way. Remember Newton's Second Law:

If we replace the

**F**in Hooke's Law with**ma**, we getor, if we write the derivative all by itself,

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Q: The vocal cords of an opera singer vibrate back and forth with a period of 0.8 milliseconds. What is the frequency of their oscillation? What is the angular frequency of their oscillation?

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