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Simple Harmonic Motion

Simple Harmonic Motion
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2017-09-22 14:31
FunctionTrigonometryCalculusParametric Equation
In collections UQ-Applied Mathematical Analysis
This example demonstrates the displacement-time graph and dynamic behavior of Simple Harmonic Motion. Core mathematical concepts include differential equations, function graphing, trigonometry, and parametric equations. Construction highlights involve GeoGebra commands like Element, CurveCartesian, Segment, Textfield, LaTeX, with objects such as sliders (b, m, k, ω_0), buttons, and lists for interactive exploration. Suitable for high school physics and mathematics education to illustrate vibration phenomena and mathematical modeling.

GeoGebra Commands & Parameters

  1. Element(List, index) → Solution
  2. CurveCartesian((2 * sin((((10 * 2) * π) * (j - y_1) / y_l))) + x(B), j, j, y_1, y_0) → S
  3. Segment(PS, PS + (0, 0.5)) → end
  4. CurveCartesian((2 * sin((((10 * 2) * π) * (j - y_1) / y_l))) + x(B), j, j, y_0, y_1) → Saux
  5. Segment(C1, C2) → Plataform
  6. Segment(A, A') → Level
  7. Segment((t, 0), A') → LevelTime
  8. Textfield(a) → InputBox1
  9. Textfield(b) → InputBox2
  10. LaTeX(ω_0, true, true) → text1
  11. Textfield(m) → InputBox3
  12. Textfield(k) → InputBox4