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 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.

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 finding equations of motion and degrees of freedom, the Atwoods machine and rotating mass shaker problems, students' questions about dh/dt and torque, angular momentum for rigid bodies, and the mass moment of inertia matrix, I.

Prof. Vandiver goes over an example problem of a block on a slope, the applications of Newton's 3rd law to rigid bodies, kinematics in rotating and translating reference frames, and the derivative of a rotating vector in cylindrical coordinates.

Prof. Vandiver goes over kinematics (describing the motion of particles and rigid bodies), Newton's three laws of motion, about action and reaction forces, the importance of an inertial reference frames, and the definition of center of mass.

Prof. Vandiver goes over the use of tangential and normal coordinates, a review of linear momentum and impulse, then the definition and derivation of the torque/angular momentum relationship with respect to moving points and rigid bodies.

Prof. Vandiver goes over velocity and acceleration in a translating and rotating coordinate system using polar and cylindrical coordinates, angular momentum of a particle, torque, the Coriolis force, and the definition of normal and tangential coordinates.

Prof. Vandiver first goes over the problem of a body on rollers with an internal rotating mass, then the definition of the mass moment of inertia as a summation, and finally moments and products of inertia.

Prof. Vandiver discusses fictitious forces at length and goes over several problems: the spool problem, the elevator with a cable that breaks, and the cart carrying water on an incline. Finally, he does a rotating mass demonstration.

Prof. Vandiver goes over the time rate of change of linear and angular momentum for a particle, conservation of angular momentum, work equalling the change in kinetic energy, external and internal structural torques, and axis of rotation.

Prof. Vandiver begins the lecture by discussing some concepts students had trouble with, then goes over free body diagrams and degrees of freedom with example problems (hockey puck, elevator, stick against wall), and finally discusses fictitious forces.

Prof. Vandiver introduces key historical thinkers in the study of dynamics. He then derives equations of motion using Newton's laws, gives an introduction to kinematics using reference frames and vectors, and goes over motion in moving reference frames.