Vector analysis, Newton's Laws, rotating coordinate systems, particle dynamics, orbital mechanics, systems of particles, rigid-body dynamics, inertia matrix, Eulerian angles, introduction to gyroscopic motion, Lagrange's equations. Pre: 2304, MATH 2214, MATH 2224. (3H,3C) II.
Objectives: Upon successful completion of this course, students shall be able to:
- Perform kinematic and kinetic analyses for the three-dimensional motion of a particle
- Analyze simple two-body orbits
- Perform analyses for systems of particles, such as rockets
- Determine equations of motion for the three-dimensional translation and rotation of a rigid body, including the formulation and diagonalization of the inertia matrix and including the use of Euler angles
- Calculate the motion of gyroscopic systems
- Derive particle and rigid-body equations of motion via Newton's Laws and via Lagrange's equations
Prereqs: This course requires a background in sophomore-level dynamics (ESM 2304) and certain topics in mathematics, including differential equations and linear algebra, found in MATH 2214 and 1114.