Lecture 12: Problem Solving Methods for Rotating Rigid Bodies

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.

1hr 11mins

1 Jul 2015

Rank #1

Lecture 15: Introduction to Lagrange With Examples

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

1hr 21mins

1 Jul 2015

Rank #2

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Lecture 14: More Complex Rotational Problems & Their Equations of Motion

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.

1hr 14mins

1 Jul 2015

Rank #3

Notation Systems

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

6mins

1 Jul 2015

Rank #4

Most Popular Podcasts

Lecture 16: Kinematic Approach to Finding Generalized Forces

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.

1hr 13mins

1 Jul 2015

Rank #5

Lecture 17: Practice Finding EOM Using Lagrange Equations

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.

1hr 17mins

1 Jul 2015

Rank #6

Lecture 18: Quiz Review From Optional Problem Set 8

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.

37mins

1 Jul 2015

Rank #7

Lecture 11: Mass Moment of Inertia of Rigid Bodies

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.

1hr 9mins

1 Jul 2015

Rank #8

Recitation 10: Steady State Dynamics

This recitation covers a steady state frequency response problem.

29mins

1 Jul 2015

Rank #9

Recitation 12: Modal Analysis of a Double Pendulum System

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

52mins

1 Jul 2015

Rank #10

Recitation 9: Generalized Forces

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

44mins

1 Jul 2015

Rank #11

Recitation 4: Free Body Diagrams

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.

41mins

1 Jul 2015

Rank #12

Recitation 3: Motion in Moving Reference Frames

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.

41mins

1 Jul 2015

Rank #13

Lecture 26: Response of 2-DOF Systems by the Use of Transfer Functions

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.

1hr 21mins

1 Jul 2015

Rank #14

Lecture 27: Vibration of Continuous Structures: Strings, Beams, Rods, etc

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).

1hr 12mins

1 Jul 2015

Rank #15