Two Particle 2D Example, Energy Approach | Intro to Rigid Body of Particles & Kinematics | Lecture 8

Dr. Shane Ross, Virginia Tech. Lecture 8 of a course on analytical dynamics (Newton-Euler, Lagrangian dynamics, and 3D rigid body dynamics). We consider a 2D example of a 2-particle system, in the center-of-mass-centered frame. We use the conservation of total energy and total angular momentum to semi-analytically solve for the relative motion (that is, the motion of the particles relative to the center of mass). We theoretically discuss multi-particle systems where we impose a rigidity constraint, that is, a rigid body of particles. For such a system, the only possible motion relative to the center of mass is rotation. We therefore consider the kinematics of the rigid body frame (the frame which is attached to the rigid body) relative to an inertial frame.

► Next: Moment of Inertia Tensor/Matrix for a Rigid Body | Principal Axis Frame

► Dr. Shane Ross, Virginia Tech professor (Caltech PhD)

► Class lecture notes in PDF form here

► in OneNote form here:

► Textbook used:
Engineering Dynamics: A Comprehensive Introduction
by N. Jeremy Kasdin and Derek A. Paley

Lecture 2020-09-17, Fall 2020

Author's website:

#Multiparticle #energy #AngularMomentum

[dmbelo]

At 1:04:23 when you state that we're using G as our origin for the inertial velocity, does that assume that G is inertially fixed? If so, does that mean that the ensuing derivation is only for the case of pure rigid body rotation (no translation)? When using the transport equation I was expecting to see a term relating to the velocity of frame B wrt to the inertial frame, I.