3 credits
Spring 2025 Lecture Distance Learning Upper Division
Dynamics of multi-degrees-of-freedom mechanical systems. Holonomic and nonholonomic constraints. Lagrange's equations of motion. Hamilton's principle for holonomic systems. Kinematics and kinetics of rigid body motion, including momentum and energy methods. Linearized equations of motion. Classification of vibratory systems - gyroscopic, circulatory forces. Stability of linear systems - divergence and flutter. Applications to gyroscopes, satellite dynamics, etc.
Learning Outcomes1Develop an understanding of the principles governing the motion of mechanical systems modeled as rigid bodies.
2Develop an ability to analyze rigid-body kinematics in stationary as well as moving frames of reference.
3Develop an ability to use Newton-Euler laws of rigid body motion.
4Develop an understanding of the fundamental concepts in analytical dynamics, and the ability to use them to formulate the equations of motion for rigid bodies and systems.
Restrictions
made by Purdue students.