Dynamics of Mechanical, Aerospace, & Bio/Robotic Systems

## Guided | School-to-Work | School-to-Research

The ground-breaking invention of vectors by Gibbs circa 1900 radically simplified geometry and revolutionized force and motion analysis. The invention of computers transformed our ability to form, solve, and visualize $F=ma\text{.}$

This textbook presents clear concise theory, practical examples, and precise definitions. It provides 2D/3D formulas for rotation matrices, angular velocity, angular acceleration, position, velocity, acceleration, mass, inertia, force, torque, and more. The textbook carefully explains the Newton and Euler methods for forming equations of motion and their associated conservation laws for translational and angular momentum. Moreover, it provides road-maps (D'Alembert's method) for enhanced free-body diagrams to enable intuitive accurate equations of motion for multibody systems.

With over 300 interactive problems with thousands of guided steps, this textbook empowers students to form equations using Newton, Euler, momentum, and energy methods. Additionally, students gain proficiency in solving the corresponding linear and nonlinear algebraic and differential equations, leveraging tools such as MotionGenesis™ and MATLAB®.

### Interactive and guided.

Homework is interactive and guided, so students continually make progress and steadily succeed. The 300+ meaningful problems are synthesized via small intelligible steps. This approach minimizes frustration, cultivates a positive learning experience, and promotes confidence in understanding dynamics as more than a "bunch of tricks". Instruction is effective in empowering students with valuable skills and enables high-quality focused interaction.

### School-to-work skills.

School-to-work and school-to-research skills are crucial for engineers. Engineers are motivated to learn when they solve interesting relevant problems and acquire professional skills. The interactive guided problems lead students step-by-step through complex procedures so they synthesize the analytical process and ultimately arrive at a physically significant and satisfying result. The problems in this textbook cover a wide range of engineering fields, including robotics, mechanical, aerospace, automotive, and bioengineering.

This dynamics material has trained engineering students at Stanford, Harvey Mudd, Rice University, UPenn, Tufts, San Jose State University, Florida State FAMU/FSU (Tallahassee & Panama), U.Florida (Gainesville), U.Nevada/Reno, U.Missouri/Kansas City, U.Texas/Austin, U.Illinois, Santa Clara University, York College, West Point USMA, Lehigh, LeTourneau, Western New England University, Bucknell, Cal State Northridge, Temple University, Université de Sherbrooke, U.Denver, ... and many force and motion experts in government and industry.