Engineering Dynamics

Prof. Vandiver goes over four classes of rotational problems: (1) rotation about fixed axis through center of mass; (2) fixed axis rotation not through center of mass; (3) unconstrained motion about center of mass; (4) rotation about moving points.

Prof. Vandiver introduces Lagrange, going over generalized coordinate definitions, what it means to be complete, independent and holonomic, and some example problems.

Prof. Vandiver goes over the cart and pendulum problem (2 DOF equations of motion), the center of percussion problem, then finally static and dynamic imbalance definitions.

In this class, Prof. Vandiver uses two different notation systems. Please watch this video to see how the different notation systems interrelate.

Prof. Vandiver goes over the concept questions for the week, the kinematic approach to finding generalized forces, the example of a wheel on moving cart with an incline, and the mass sliding on rod example.

Prof. Vandiver goes over a new formula for computing torque about moving points, the hockey puck problem via direct method and Lagrange, condensing many forces to 1 force and 1 moment at COM, pendulum with Lagrange, Atwood's machine, and falling stick.

Prof. Vandiver goes over various problems to review for the quiz, such as sticking and sliding in a circular track, a rotating T-bar with an imbalance, a pendulum in an elevator, and other pendulum problems.

Prof. Vandiver goes over the definition of the moment of inertia matrix, principle axes and symmetry rules, example computation of Izz for a disk, and the parallel axis theorem.

This recitation covers a steady state frequency response problem.

This recitation takes an in depth look at modal analysis for a double pendulum system.

This recitation covers generalized forces in a double pendulum. Questions are also addressed for an upcoming quiz.

This recitation reviews free body diagrams and covers a problem with a torsional spring pendulum followed by a second problem with a rolling pipe on an accelerating truck.

This recitation includes a concept review for the week and covers a problem on velocity and acceleration of a point in a plane using polar coordinates.

Prof. Vandiver goes over analyzing the response of a 2-DOF system to harmonic excitation with transfer functions, using a dynamic absorber to mitigate problem vibration, and does a demonstration of a dynamic absorber using a strobe and a vibrating beam.

Prof. Vandiver goes over wave propagation on a long string, flow-induced vibration of long strings and beams, application of the wave equation to rods, organ pipes, shower stalls with demonstrations, and vibration of beams (dispersion in wave propagation).