Technical Terms

Math and Physics Programming

Started by Jacob Roman October 04, 2006 02:21 PM

2 comments, last by erissian 17 years, 6 months ago

120

Author

October 04, 2006 02:21 PM

What's the difference between Rigid Body Kinematics and Rigid Body Dynamics? And also, what exactly is Langarian Dynamics?

Mastaba

761

October 04, 2006 02:34 PM

The main difference between Rigid Body Kinematics and Rigid Body Dynamics is one focuses on the kinematic properties (position and momentum for example), and the other focuses on forces. Lagrangian dynamics is a reformulation of the laws of Newtonian dynamics due to the French/Italian mathematician Joseph Louis Lagrange

alvaro

21,604

October 04, 2006 02:37 PM

Quote:Original post by Jacob Roman
[...] And also, what exactly is Langarian Dynamics?

You probably mean "Lagrangian". It should be easy to google for Lagrangian mechanics.

erissian

727

October 04, 2006 03:16 PM

LaGrange tends to determine motion based on the conversation of energy. Here's a simple example:

Problem:A ball at rest drops from a height h. How fast is it travelling when it impacts the ground?Solution:E = Kinetic + Potential = mvv/2 + mgy;So Ei = 0 + mgh = mgh, Ef = mvv/2 + mg(0) = mvv/2Ef - Ei = 0 -> Ef = Eimvv/2 = mghv = sqrt(2gh)

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Technical Terms

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