Engineering Dynamics

Use normal and tangential coordinates for curved motion, where velocity lies along the tangent and acceleration splits into normal and tangential components toward the center of curvature, radius of curvature.

Learn to analyze motion on curved paths using normal and tangential coordinates. Compute acceleration magnitude as sqrt(a_n^2 + a_t^2), with a_n = v^2/rho and a_t = dv/dt.

Learn Newton's second law, F equals ma, and solve dynamics using free body diagrams in x, y, and tangential coordinates.

Apply F = ma through free-body diagrams, components, and coordinate choice to solve simple Newton's second law problems, including a two-part sled ramp to water and a rope pulley system.

Apply F = ma to circular motion using normal and tangential coordinates, perform free-body diagrams, and relate normal acceleration to v^2/r in an amusement park ride example.

Explore normal and tangential coordinate methods through banked curves like Daytona's 31-degree track with a 1000-foot radius, derive frictionless speed from normal acceleration, and use free-body diagrams for circular motion.

Explore how work energy concepts apply to braking scenarios and roller coaster loops, linking friction, kinetic energy, and potential energy to predict stopping distances and loop speeds.

Explore work and energy in dynamics by relating power to energy, converting units such as joule, watt, and horsepower, and applying energy methods to velocity problems with friction and springs.

Use work-energy to find Tarzan’s speed just after the vine hits point b, then compare rope tension before and after strike, highlighting potential and kinetic energy and centripetal acceleration.

Discover how impulse and momentum solve collision problems and force-duration cases, distinguish linear and angular momentum, and compare momentum methods with energy in dynamics.

Explore impulsive momentum in collisions, emphasizing momentum conservation despite energy loss, and compare central and oblique impacts using the coefficient of restitution and the plane of impact.

Explore relative velocity analysis for rigid body motion, using graphical and analytical methods to relate B to A and solve a bar-and-rollers problem for angular velocity.

Explore relative velocity analysis in engineering dynamics using graphical, analytical method, cross products, and the method of instant center to determine velocity relationships in planar mechanisms.

Perform relative acceleration analysis by decomposing a_B into a_A plus normal toward the center and tangential perpendicular to the bar, then determine omega and alpha via velocity analysis.

Apply relative acceleration analysis using the acceleration polygon to determine the acceleration of a mechanism's link C, integrating velocity relationships, normal and tangential components, and instant center considerations.

Apply cross product methods to relate velocity and acceleration in a slider-block mechanism, solving for B's acceleration using relative motion, constraints, and normal and tangential components.

Apply relative acceleration analysis on a rotating link with a sliding point, deriving omega and alpha while accounting for Coriolis effects and velocity decomposition.

Explains rigid body kinetics for translation, using the mass center acceleration in F equals m a, and introduces kinetic moments when choosing non-centroid points, with a plane example.

Analyze rigid body translation on a conveyor belt by balancing friction, normal force, and tipping moments to determine maximum acceleration before slip or tip, using bottle and lift truck examples.

Use work-energy for rigid bodies to solve velocities with kinetic, potential, and spring energies; relate work to force along displacement and moment to angle, covering translation, rotation, or general motion.

apply the work-energy method to a two-link mechanism, calculate kinetic and potential energies for rotating bars AB and CD and translating AD, and include torque work and torsion spring energy.

Explore impulse momentum for rigid body systems, using linear and angular momentum, impulse, and angular impulse to solve collision problems and time‑dependent forces, with moment of inertia and contact points.

Apply impulse momentum analysis to rigid body systems, solving gear rack dynamics and a sign leg impact using moments, inertia, and energy methods, and compare approaches.