Chapter 14 Outline Periodic Motion Oscillations Amplitude, period, frequency Simple harmonic motion Displacement, velocity, and acceleration Energy in.

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Presentation transcript:

Chapter 14 Outline Periodic Motion Oscillations Amplitude, period, frequency Simple harmonic motion Displacement, velocity, and acceleration Energy in simple harmonic motion Pendulums Simple Physical Damped oscillations Resonance

Periodic Motion Many types of motion repeat again and again. Plucked string on a guitar, a child in a swing, sound waves in a flute… This is called periodic motion, or oscillation. Stable equilibrium point Displacement from equilibrium leads to a force (or torque) to return it to equilibrium. Kinetic energy leads to overshoot, causing repeat

Periodic Motion Notation

Simple Harmonic Motion

Mass on a Spring

Simple Harmonic Motion of a Mass on a Spring

Displacement, Velocity and Acceleration

SHM Example

Energy in Periodic Motion

Energy Plots in Periodic Motion

Vertical SHM

Molecular Vibrations

Simple Pendulum

Physical Pendulum

Physical Pendulum Example

Damped Oscillations

Underdamped Oscillations

Critical and Over-damped Oscillations

Forced Oscillations and Resonance If the system is driven at some arbitrary frequency, there will not be much of a response. But, if it is driven near the natural resonance frequency, the response can be quite large.

Chapter 14 Summary Periodic Motion

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