課程資訊
 課程名稱 古典力學CLASSICAL MECHANICS 開課學期 94-1 授課對象 物理學研究所 授課教師 蔡爾成 課號 Phys7019 課程識別碼 222 M1940 班次 01 學分 4 全/半年 半年 必/選修 必修 上課時間 星期二8,9(15:30~17:20)星期四8,9(15:30~17:20) 上課地點 新物112 備註 限非在職專班學生修習 課程簡介影片 核心能力關聯 核心能力與課程規劃關聯圖 課程大綱 為確保您我的權利,請尊重智慧財產權及不得非法影印 課程概述 一、課程簡介: 1. Mechanics of a System of Particles constraints D’Alembert’s Principle and Lagrange’s equations 2. Variational Principles and Lagrange’s Equations calculus of variation and Hamilton’s principle Lagrange multipliers and nonholonomic systems symmetry and conservation theorems in Lagrangian formulation 3. The Two-body Central Force Problem equivalent one-dimensional problem and reduced mass virial theorem differential equation for the orbit, integrable power-law potentials conditions for closed orbits (Bertrand’ theorem) Kepler problem: Inverse square law of force Laplace-Runge-Lenz vector Scattering in a central force field 4. The Kinematics of Rigid Body Motion rotation matrix and rotation group Euler angles Euler’s theorem on the motion of a rigid body Infinitesimal and Finite rotations the Coriolis force 5. The Rigid Body Equations of Motion rotational tensor inertia tensor and moment of inertia, principal axis transformation Euler equations of motion torque-free motion of a rigid body heavy symmetrical top with one point fixed Precession of the equinoxes and satellite orbits 6. Small Oscillations formulation, eigenvalue equation and the principal axis transformation normal modes free vibrations of a linear triatomic molecule forced vibrations and dissipative forces 二、先修課程: 三、參考書目:`Classical Mechanics` by Goldstein 課程目標 課程要求 預期每週課後學習時數 Office Hours 參考書目 指定閱讀 評量方式(僅供參考)
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