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The invention of vectors by Gibbs circa 1900 radically simplified geometry
and 3D force and motion analysis.
The invention of personal computers circa 1980 radically changed human ability to
form, solve, and visualize F = m a.
This textbook provides concise theory, examples, definitions, and 2D/3D formulas
for rotation matrices, angular velocity, angular acceleration,
position, velocity, acceleration, mass, inertia, force, torque, and
road-maps (enhanced free-body-diagrams)
for forming equations of motion.
The textbook has 117 pages of extensive interactive guided work.
Outcome:
Ability to form equations with Newton, Euler, momentum, and energy methods -- and
solve their associated linear/nonlinear algebraic/differential equations
(e.g., with MATLAB®
or MotionGenesis™).
This dynamics material has trained engineering students at
Stanford, Harvey Mudd, Lehigh, Tufts, U.Florida, Florida State FAMU/FSU, U.Illinois,
U.Nevada/Reno, U.Missouri/Kansas City, U.Texas/Austin,
San Jose State, Santa Clara, West Point USMA, York College, LeTourneau,
Western New England University, Bucknell, Université de Sherbrooke
... -- as well as force and motion experts in government and industry.
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