Simple pendulum simulation with parameter sliders, analytical-overlay graph, and enhanced large-angle version¶

Design · All designs
Evidence · no claims cited

Description¶

An LLM-generated interactive pendulum simulation (Figure 1) with sliders for mass, length, initial angle, and angular velocity, and graphs of angle and angular velocity over time with the analytical small-angle solution overlaid. An enhanced version (Figure 2) adds "full rotations and non-periodic trajectories", a friction slider demonstrating damping, pendulum tension over time, and energy distribution bars. Generated with OpenAI's O1 or Claude 3.5 Sonnet.

Design Implications¶

Context¶

Requirements¶

Numerical solution via Runge-Kutta methods; real-time slider updates; graph reset on parameter change

Constraints¶

The small-angle analytical overlay diverges from the numerical solution at larger initial angles, illustrating the limits of the approximation

Target Learners¶

physics students studying harmonic motion
educators teaching classical mechanics

Learning Goals¶

exploring how length affects period
understanding limits of the small-angle approximation
observing damping and energy distribution

Claims¶

Three pedagogical design considerations for physics simulations: consistent world view, multiple representations, and game for concept testing

Examples¶

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Key Sources¶

Yossi Ben-Zion, Roi Einhorn Zarzecki, Joshua Glazer, Noah D. Finkelstein. (2024). Leveraging AI for Rapid Generation of Physics Simulations in Education: Building Your Own Virtual Lab. https://arxiv.org/abs/2412.07482

Page metadata

Field	Value
`type`	`design`
`id`	`ai-generated-pendulum-simulation`
`title`	`Simple pendulum simulation with parameter sliders, analytical-overlay graph, and enhanced large-angle version`
`description`	`An LLM-generated interactive pendulum simulation (Figure 1) with sliders for mass, length, initial angle, and angular velocity, and graphs of angle and angular velocity over time with the analytical small-angle soluti...`
`status`	`review`
`generated`	by `process:settle-candidates` on `2026-10-12`
`trust`	unverified — no one has confirmed this page's content
`sources`	1 — `yossi-ben-zion-2024`

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