With analytic mechanics, many topics of kinematics and dynamics of mechanical systems are introduced. The course Mainly includes: constraints of motion, generalized coordinates, degrees of freedom, principle of virtual work. For fixed-point motion of rigid body, the Euler angles and Euler Equations of kinematics are introduced; and more, parallel planar motion, fixed-axis motion and general motion of rigid bodies are also presented. The equations of motion in non-inertial reference frame and their application are discussed. Lagrangian and Lagrange equations are introduced, and as their applications, central force motions and small oscillations for multi-degrees of freedom mechanical systems are discussed. Center of mass and reference frame of center of mass for many particle systems are presented. Dynamical laws of the particle groups are discussed, and the laws are used to solve mechanical problems. For rigid body dynamics, the inertia tensor and Euler dynamical equation are introduced. From the Lagrange equations of motion, we deduce the canonical equations of motions, the conservations of some mechanical quantities of mechanical systems are discussed. Finally, we discuss the Poisson brackets and Hamilton`s principle and Hamilton-Jacobi equation.
Physics
物理（Physics）是一门自然科学，也是绝大多数科学的基础学科，注重于研究物质、能量、空间、时间，尤其是它们各自的性质与彼此之间的相互关系。从广义来说，物理学探索分析大自然所发生的现象，以了解其规则。物理专业主要分应用物理、生物物理、原子物理、核物理、粒子物理、量子物理、凝聚态物理、等离子物理、高能物理、天体物理与宇宙学等多种专业分支。
