課程資訊
課程名稱
力學下
Mechanics (2) 
開課學期
110-2 
授課對象
理學院  物理學系  
授課教師
高英哲 
課號
Phys2005 
課程識別碼
202 21202 
班次
 
學分
3.0 
全/半年
全年 
必/選修
必帶 
上課時間
星期一2,3,4(9:10~12:10) 
上課地點
楊金豹演講廳 
備註
上課教室:新物104
限本系所學生(含輔系、雙修生)
總人數上限:130人 
 
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課程概述

This course introduces the formal and rigorous formalism as well as basic physical concepts and methods of classical mechanics to students. In particular, it will present a review of relevant mathematics, detailed discussions of advanced topics in Newtonian mechanics, introductions to Lagrangian and Hamiltonian dynamics, and numerous examples (applications). It aims to provide a precise and consistent description of the dynamics of single particles and systems of particles. 

課程目標
Students who have completed this course should
* Be able to solve the motion of rigid bodies and coupled systems
* Understand special relativity
* Develop math skills as applied to physics 
課程要求
General Physics;Calculus; Ordinary Differential Equations; Linear Algebra 
預期每週課後學習時數
 
Office Hours
每週二 11:00~12:00 
指定閱讀
J.B. Marion and S.T. Thornton, "Classical Dynamics for Particles and Systems", 5th ed., Harcourt Brace & Co., Philadelphia, 2003. 
參考書目
1. C. Kittel, W. D. Knight and Malvin A. Ruderman ”Mechanics”, McGraw-Hill, New York, 1965
2. Feynman, R.B. Leighton and M. Sands, "Feynman Lectures on Physics Vol. 1", Addison Wesley, 1974.
3. L.D. Landau and E.M. Lifshitz, "Mechanics", 3rd ed. Pergammon, New York, 1976
4. K.R. Symon, "Mechanics", 4th ed. Addison-Wesley, Reading, Mass. 1974. 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 1
02/14  Galilean Invariance and Lorentz Transformation; Spacetime diagram;Relativistic Doppler Effect; Twin Paradox

 
Week 2
02/21  Relativistic Momentum, Energy, Four-Vectors; Lagrangian Function in SR 
Week 3
02/28  No class 
Week 4
03/07  Center of Mass; Linear Momentum and Angular Momentum of a System of Particles; Energy of the System 
Week 5
03/14  Elastic Collisions of Two Particles; Kinematics of Elastic Collisions; Relativistic Kinematics
 
Week 6
03/21  Inelastic Collision; Scattering Cross Sections; Rutherford Scattering 
Week 7
03/28  Midterm 
Week 8
04/04  No class 
Week 9
04/11  Rotating Coordinate Systems; Centrifugal and Coriolis Forces;Angular Momentum, Kinetic Energy and Inertia Tensor of Rigid Bodies 
Week 10
04/18  Properties of the Inertia Tensor ; Principal Axes of the Inertia Tensor 
Week 11
04/25  Eulerian Angles; Euler's Equations for a Rigid Body
 
Week 12
05/02  General Coupled Oscillations; Normal Coordinates 
Week 13
05/09  Molecular Vibrations;Three Linearly Coupled Plane Pendula; The Loaded String
 
Week 14
05/16  Introduction to Continuous Systems/Waves; Wave Equation
 
Week 15
05/23  Forced and Damped Motion; Phase Velocity, Dispersion and Attenuation
 
Week 16
05/30  Final