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Lab 5: Damped simple harmonic motion

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Presentation on theme: "Lab 5: Damped simple harmonic motion"— Presentation transcript:

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

2 Simple harmonic oscillation
Ideal case: no friction

3 Simple harmonic oscillation (cont.)

4

5 Phase space plot (v vs. x)

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

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

8 Damped simple harmonic oscillation (cont.)

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

10 Damped harmonic oscillation (underdamping)

11 Damped harmonic oscillation

12 Damped harmonic oscillation (underdamping)

13 Approaching the ideal limit

14 Phase space plot (v vs. x)

15 Detection: ultrasonic motion detector


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