Lab 5: Damped simple harmonic motion

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Presentation transcript:

Lab 5: Damped simple harmonic motion Simple harmonic oscillation Damped harmonic oscillation 381 Mechanics

Simple harmonic oscillation Ideal case: no friction

Simple harmonic oscillation (cont.)

Phase space plot (v vs. x)

Non-ideal spring (mass) How should we consider the effect of finite spring mass?

Damped simple harmonic oscillation Friction: retarding motion (energy dissipation)

Damped simple harmonic oscillation (cont.)

Damped harmonic oscillation (underdamping) B is replaced by A* because x is a real function.

Damped harmonic oscillation (underdamping)

Damped harmonic oscillation

Damped harmonic oscillation (underdamping)

Approaching the ideal limit

Phase space plot (v vs. x)

Detection: ultrasonic motion detector

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