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 |
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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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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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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 |
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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) |
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週次 |
日期 |
單元主題 |
Week 1 |
02/14 |
Galilean Invariance and Lorentz Transformation; Spacetime diagram;Relativistic Doppler Effect; Twin Paradox
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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
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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
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Week 12 |
05/02 |
General Coupled Oscillations; Normal Coordinates |
Week 13 |
05/09 |
Molecular Vibrations;Three Linearly Coupled Plane Pendula; The Loaded String
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Week 14 |
05/16 |
Introduction to Continuous Systems/Waves; Wave Equation
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Week 15 |
05/23 |
Forced and Damped Motion; Phase Velocity, Dispersion and Attenuation
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Week 16 |
05/30 |
Final |
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