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Simple Harmonic Motion

Simple Harmonic Motion. Repeated Motion. What are some examples of something that repeats? What is common to all repeated things? Time interval Path taken How often. Special Repeated Motion. Called Simple Harmonic Motion (SHM) Two main requirements: Repeated motion

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Simple Harmonic Motion

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  1. Simple Harmonic Motion

  2. Repeated Motion • What are some examples of something that repeats? • What is common to all repeated things? • Time interval • Path taken • How often

  3. Special Repeated Motion • Called Simple Harmonic Motion (SHM) • Two main requirements: • Repeated motion • A force that constantly returns it to equilibrium • Examples of non-SHM: • Going to school • Planets orbiting sun

  4. Examples of SHM • Two main ones: • Pendulum • An object swinging back and forth under the force of gravity • Spring System • An object vibrating on a spring. • We will talk in this class only about pendulums.

  5. Pendulums • Two important properties about SHM that we classify: • Period (T) • The TIME it takes to make one complete repetition • Measured in units of time (seconds, minutes, etc) • Frequency (f) • The NUMBER of repetitions in one second • Measured in units of Hertz. (1/seconds) • Period and frequency are inversely related • period = 1 / frequency

  6. Pendulum Properties • What things DO affect the period of a pendulum? (brainstorm at table) • Length • Gravity • What things DO NOT affect the period of a pendulum? (brainstorm at table) • Mass! • Amplitude (how high you start it)

  7. SHM Gives Sine Curves • If something moves in SHM, the graph of its motion is a sine curve. • We can see all the wave properties present in the sine curve.

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