MA 262: 5.4 Review- Mechanical Vibrations

Review of lesson 5.4 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 5.4 covers the application of differential equations (DEs) to describe mechanical vibrations, including mass-spring-dashpot systems, masses on springs, simple pendulums, free damped motion, free undamped motion, and overdamped and underdamped cases. Derivation of appropriate second-order DE demonstrated for each system with respect to relevant forces. For free damped and free undamped motion, computation of phase angle, frequency, period, time lag, circular frequency, and pseudoperiod and pseudo circular frequency demonstrated.