This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include kinematics; force-momentum formulation for systems of particles and rigid bodies in planar motion; work-energy concepts; virtual displacements and virtual work; Lagrange's…
Prof. Nicholas Makris, Prof. Peter So, Prof. Sanjay Sarma, Dr. Yahya Modarres-Sadeghi
Impulse, skier separation problem; Note: video is not available for Lecture 6.
Three cases, rolling disc problem
Dumbbell problem, multiple particle systems, rigid bodies, derivation of torque = I*alpha
Single particle: angular momentum, example problem; Two particles: dumbbell problem, torque
Super-magic formula, degrees of freedom, non-standard coordinates, kinematic constraints; Note: video is not available for Lecture 6.
Pulley problem, angular velocity, magic formula
The "spider on a Frisbee" problem; Kinematics using first principles: "downconvert" to ground frame
Course information; Begin kinematics: frames of reference and frame notation