Course Code: B21001Y-B01
Course Name: Mechanics
Credits: 4.0
Level: Undergraduate
Lecture Time: 40 sessions, 2 hours/session
Course Description
As the first physical course of undergraduate students majoring in physics, this course is designed to help students systematically master basic content of Newtonian Mechanics and preliminary knowledge of Special Relativity, adapt to the transition from secondary school to college and develop the proper learning method.
Topics and Schedule
0. Mathematical Supplement (6 hrs)
0.1. Determinant (0.5 hrs)
0.2. Algebraic operations of vector (1.5 hrs)
0.3. One element function calculus (2.5 hrs)
0.4. Multivariate function calculus (1.5 hrs)
1. Kinematics of Mass Point (6 hrs)
1.1. Space and time (0.5 hrs)
1.2. Linear motion (class hours)
1.3. Planar curvilinear motion (3.5 hrs)
1.4. Spacial curvilinear motion (0.5 hrs)
1.5. Relative motion between reference frames (0.5 hrs)
2. Newton's Law and Momentum Theorem (5 hrs)
2.1. Newton's law (0.5 hrs)
2.2. Interaction force (0.5 hrs)
2.3. Mechanical relativity principle (0.5 hrs)
2.4. Inertial force (2 hrs)
2.5. Momentum theorem (1.5 hrs)
3. Mechanical Energy Theorem (6 hrs)
3.1. Kinetic energy theorem (1 hrs)
3.2. Conservative force and potential energy (1.5 hrs)
3.3. Mechanical energy theorem (2 hrs)
3.4. Collision (1.5 hrs)
4. Angular Momentum Theorem, Celestial Movement (5 hrs)
4.1. Angular momentum theorem (3 hrs)
4.2. Symmetry and conservation (0.5 hrs)
4.3. Celestial movement (1.5 hrs)
4.4. Expanding universe (Self-taught)
Midterm Examination (2 hrs)
5. Mass Center, Rigid Body (8 hrs)
5.1. Mass center (2 hrs)
5.2. Fixed-axis rotation of rigid Body (2.5 hrs)
5.3. Plane parallel motion of rigid body (2.5 hrs)
5.4. Fixed-point rotation of rigid body, balance of rigid body (1 hrs)
6. Fluid (4 hrs)
6.1. Fluid statics (0.5 hrs)
6.2. Fluid kinematics and mass conservation (0.5 hrs)
6.3. Steady flow of ideal fluid (2 hrs)
6.4. The flow of viscous fluid (1 hrs)
7. Vibration and Wave (10 hrs)
7.1. Kinematic description of harmonic vibration (2 hrs)
7.2. Dynamic properties of harmonic vibration (2 hrs)
7.3. Vibration of conservative system (0.5 hrs)
7.4. Damped vibration and forced vibration (1.5 hrs)
7.5. Kinematic description of wave (3 hrs)
7.6. Brief introduction to dynamics of waves (1 hrs)
8. Special Relativity (8 hrs)
8.1. Basic principle of special relativity (0.5 hrs)
8.2. Relativity of time and spatial measurement (1.5 hrs)
8.3. Space-time transformation and velocity transformation (3 hrs)
8.4. Brief introduction to dynamic content (3 hrs)
The sections 4.3.2, 4.4, Fixed-point rotation of rigid body, Quasi Bernoulli equation, Vibration of multi degree freedom system, and sections 7.8, 8.4.1 will be beyond our lecturing scope. Partial examples with high difficulty are not necessarily demanded，and exercises only conclude section A.
Grading
Daily assignments 10％, Midterm examination 40％, Final examination 50％.
Textbook
You-Sheng Shu, Mechanics, Peking University press
References
[1] Kai-Hua Zhao, Wei-Yin Luo, Mechanics, Higher Education Press. (Recommended Reference)
[2] You-Sheng Shu, Mechanical Exercises and Solutions, Peking University press.（Teachers' reference book）
