Pendulum Wave Machine Simulation
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In collections
Trig
This example demonstrates the complex wave patterns formed when multiple pendulums swing with different periods and phases. Key math concepts include periodicity, phase difference, sequences, trigonometry, and kinematics. The construction uses the Sequence command to generate time sequences and position lists for the pendulums. Suitable for high school and above students to learn about physical vibrations, mathematical modeling, and dynamic geometry.
GeoGebra Commands & Parameters
Sequence(((i * 14 / n), sin((time * (i + 51 - 14 + n)))), i, 0, n) → list1Sequence(Segment[((i * 14 / n), 0), ((i * 14 / n), sin((time * (i + 51 - 14 + n))))], i, 0, n) → list2
AI Drawing Prompt Reference
Create a dynamic simulation of multiple pendulums swinging with different periods and phases to demonstrate complex wave patterns. Use the sine function to calculate the position of each pendulum, and generate time sequences and position lists for multiple pendulums with a sequence command. Connect the suspension point and the swing point of each pendulum with line segments to form a dynamic wave pattern, showcasing concepts like periodicity, phase difference, trigonometry, and kinematics.
The prompt above was compiled from the original drawing commands and is for reference only.