MathPlotAI Logo MathPlotAI

Pendulum Simulation with Euler's Method

Pendulum Simulation with Euler's Method
Loading the math board and drawing, please wait…
2020-05-04 22:21
VectorTrigonometryCalculusGeometric Construction
This example demonstrates a pendulum simulation using Euler's method. It involves core mathematical concepts like vectors, angles, calculus, trigonometric functions, and differential equations. Constructed using GeoGebra commands such as Intersect, Point, Segment, Angle, and Sequence, it is suitable for high school and above students learning numerical methods for differential equations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, L]) → B
  3. Segment(A, B) → f
  4. Point(yAxis) → C
  5. Angle(C, A, B) → α
  6. Sequence(Sequence[Vector[(x_{0}, y_{0}), ((a * f_{x}(x_{0}, y_{0})) + x_{0}, (a * f_{y}(x_{0}, y_{0})) + y_{0})], x_{0}, x_{min}, x_{max}, (x_{max} - x_{min}) / n], y_{0}, y_{min}, y_{max}, (y_{max} - y_{min}) / n) → l1