Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing.

The mathematics of pendulums are in general quite complicated. Simplifying assumptions can be made, which in the case of a simple pendulum allow the equations of motion to be solved …

Nov 25, 2025 · Learn about the simple pendulum, its physics, real-world behavior, and calculations. Ideal for high school and college physics students.

Sep 30, 2023 · A simple pendulum is a typical laboratory experiment in many academic curricula. Students are often asked to evaluate the value of the acceleration due to gravity, g, using the …

When the angular displacement amplitude of the pendulum is large enough that the small angle approximation no longer holds, then the equation of motion must remain in its nonlinear form . …

For angles less than about 15º, the restoring force is directly proportional to the displacement, and the simple pendulum is a simple harmonic oscillator. Using this equation, we can find the …

For small amplitudes, the period of such a pendulum can be approximated by: (Enter data for two of the variables and then click on the active text for the third variable to calculate it.) Note that …

It's easy to use Newton's law to calculate the force components, but it's also easy to use Lagrangians, and this will warm you up for when we have to do the double pendulum. We take …

Feb 4, 2024 · Basically, a simple pendulum is a mechanical device demonstrating periodic motion. This has a small circular bob suspended by a thin inextensible string from any fixed end and …

Determine the moment of inertia for the system of the pendulum about an axis of rotation through the top of the string (marked by × in the figure). Solution. You can treat the pendulum as a …