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Simple Harmonic Motion by Dr. Doug Davis, 3D

Simple Harmonic Motion by Dr. Doug Davis, 3D
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2016-02-02 20:50
FunctionTrigonometryCalculus
This example demonstrates a spring mass system with amplitude 1 and frequency 1/(2π). It shows the graphical relationships between displacement, velocity, acceleration, and jerk. Key mathematical concepts include trigonometry, derivatives, and integrals. GeoGebra objects like Offset, m, k, ff, t, tt are used in construction. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Numeric Offset(2)
  2. Numeric m(1)
  3. Numeric k(1)
  4. sqrt(k / m)
  5. Numeric t(0)
  6. (t * ff)
  7. Point E(-3.5, 20)
  8. ((-Offset) * cos(tt))
  9. (-3.5, 0 + a)
  10. (-1.5, 0 + a)
  11. (-5, -1 + a)
  12. (0, -1 + a)
  13. (t, a)
  14. (t, ((Offset * ff) * sin(tt)))
  15. (t, ((Offset * ff^(2)) * cos(tt)))
  16. (t, (((-Offset) * ff^(3)) * sin(tt)))
  17. Acceleration
  18. Position
  19. Velocity
  20. Jerk
  21. Boolean showS(false)
  22. Boolean showV(false)
  23. Boolean showA(false)
  24. Boolean showJ(false)