Spring-Cart-Pendulum System

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration models the dynamical behavior of a pendulum connected to a cart that is, in turn, attached to a spring. The path of the pendulum bob and the position and speed of the cart and the pendulum can be traced as you vary the parameters of the system. The spring-cart-pendulum system has two degrees of freedom: the horizontal position of the cart and pendulum and the angle between the pendulum's rod and the vertical . In the absence of friction, we have the following equations of motion ( is acceleration due to gravity):

[more]

,

.

[less]

Contributed by: Erik Mahieu (April 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send