Planar Kinematics & Dynamics of a Particle | Lecture 2 of a Course

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Dr. Shane Ross, Virginia Tech. Lecture 2 of a course on analytical dynamics (Newton-Euler, Lagrangian dynamics, and 3D rigid body dynamics). We discuss motion of a particle in 2 degrees of freedom, including two example systems. We introduce the polar frame and polar coordinates, and the use of the transport equation to write time derivatives of vectors written in one frame with respect to another frame (e.g., written in the polar frame but with the derivative taken with respect to the inertial frame).

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

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► Related Courses and Series Playlists by Dr. Ross

📚Nonlinear Dynamics and Chaos

📚Lagrangian and 3D Rigid Body Dynamics

📚Hamiltonian Dynamics

📚Center Manifolds, Normal Forms, and Bifurcations

📚Space Vehicle Dynamics

📚3-Body Problem Orbital Dynamics Course

📚Space Manifolds

► Chapters
0:00 Projectile motion in 2 dimensions (worked example)
18:27 Pendulum, planar pendulum
27:00 Polar coordinate frame
45:26 Transport equation, transport theorem for derivatives relating rotating frames
1:02:44 Inertial acceleration written in polar coordinates

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

Lecture 2020-08-27, Fall 2020

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