University of Michigan - Shanghai Jiao Tong University Joint Institute


Vm 543: Analytical Dynamics

General information

Course description: Vectors and tensor. Scalar, vector and tensor products. Second order tensors. Coordinate systems. Differential geometry of curves, surfaces and three dimensional mappings. Basis principles of dynamics. Newton’s laws for particles and systems of particles. The geometric description of rotations. Euler angles. Time and spatial derivatives. Kinematics of rigid bodies. Kinetics of rigid bodies. Variational and energy principles in dynamics.
Degree program
: Mechanical Engineering
Credit hours: 3 credits
Required/Elective course: Elective
Pre-requisites: Vm 440 Intermediate Dynamics and Vibration
Terms offered: Fall.