Engineering Dynamics

Describe particle motion using rectilinear and curvilinear coordinate systems, including projectile trajectories, normal-tangential components, polar coordinates, and relative motion analysis.

Apply Newton's second law to particles on inclined planes and pulley systems, and analyze dependent motion and cable constraints using translating reference frames.

Use the work-energy theorem and conservation of energy to solve particle dynamics problems involving gravitational and spring potential energy, and calculate power output.

Relate impulse to changes in linear and angular momentum, solve collision problems using the coefficient of restitution, and apply conservation of momentum to central-force and orbital mechanics problems.

Analyze rigid-body translation, rotation, and general plane motion using instantaneous centers, rolling constraints, rotating reference frames, and Coriolis acceleration.

Apply Newton's second law to rigid bodies in rotation and general motion, compute mass moments of inertia, and solve for rotational kinetic energy and angular acceleration.

Model free and forced vibrations of spring-mass systems, determine natural frequencies and damping ratios, and evaluate magnification factors and vibration isolation strategies.