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视频学习辅助The course of Theoretical Mechanisc includes three parts: Statics, Kinematics
And Dynamics. The first part, Statics, introduces basic concepts and principles of statics, the free-body diagrams, basic operation with force systems，reduction and resultants of force systems，equilibrium of planar force systems，equilibrium of spatial force systems and friction. The second part, Kinematics, covers kinematics of a point, translation and rotation of rigid bodies，composite motion of a point and plane motion of rigid bodies. The third part, Dynamics, covers kinetics of a particle, principle of linear impulse and momentum，principle of angular impulse and momentum，principle of work and kinetic energy，collision, D' Alembert' s principle，and principle of virtual displacements.
Theoretical Mechanics is a branch of solid mechanics, which provides a basic understanding of the part of mechanics which deals with the equilibrium and accelerated motion of bodies under the action of forces. It lays the foundation and framework for subsequent advanced mechanics courses, such as Mechanics of Materials. The course covers the contents of three parts:
-statics includes the free-body-diagram, planar force systems, spatial force systems, friction, etc.
-kinematics includes the kinematics of a particle, the simple motions of a rigid body, resultant motion of a particle, planar motion of a rigid body, etc.
-kinetics includes the particle dynamics, theorems of linear momentum, angular momentum and kinetic energy of particle systems, D’ Alembert’ s principle, principle of virtual displacement, etc.
The goal of this course is to help students develop a comprehensive understanding of the basic principles of mechanics so that they can apply them to real situations and deal with mechanics problems in engineering.
Charpter 1 Fundamental Concepts of Statics
1.1 Introduction to Mechanics
1.2 Fundamental Concepts
1.3 Support reaction
1.4 Free Body Diagram
Chapter 1 Fundamental Concepts of Statics
Chapter 1 Fundamental Concepts of Static
Chapter 2 Equivalence and Reduction of Force System
2.1 Projection of a force onto axes &Resolution of a force along axes
2.2 Moment of a force and the principle of moment
2.3 Couple and Moment of couple
2.4 Equivalence of force systems
2.5 Addition of concurrent force system
2.6 Reduction of arbitrary force systems
2.7 Reduction of parallel force system
2.8 Center of gravity
Chapter 2 Equivalence and Reduction of Force System
Chapter 2 Equivalence and Reduction of Force System
Chapter 3 Equilibrium of coplanar force system
3.1 Equilibrium equations
3.2 Questions for Equilibrium of planar force system
3.3 Equilibrium for a rigid body system
3.4 Forces in the member of a truss
3.5 Equilibrium of spatial force system
Chapter 3 Equilibrium of coplanar force system
Chapter 3 Equilibrium of coplanar force system
Chapter 4 Friction
4.1 Law of Dry Friction
4.2 Angle of Friction and Self-locking
4.3 Equilibrium Involving Dry Friction
4.4 Rolling Resistance
Chapter 4 Friction
Chapter 4 Friction
Chapter 5 Kinematics of a Particle
5.1 Rectilinear Kinematics
5.2 Vector Analysis of Motion
5.3 Rectangular Components
5.4 Normal and Tangential Components
Chapter 5 Kinematics of a Particle
Chapter 5 Kinematics of a Particle
Chapter 6 Kinematics of a rigid body
6.1 Planar Rigid-Body Motion
6.2 Translation
6.3 Rotation about a Fixed Axis
6.4 Gear System
Chapter 6 Kinematics of a rigid body
Chapter 6 Kinematics of a rigid body
Chapter 7 Composite Motion of a Particle
7.1 Basic Concepts
7.2 Composition of Velocities
7.3 Composition of Accelerations
Chapter 7 Composite Motion of a Particle
Chapter 7 Composite Motion of a Particle
Chapter 8 Planar Kinematics of a Rigid Body
8.1 Planar Rigid-Body Motion
8.2 Analysis of Velocity
8.3 Analysis of Acceleration
8.4 Comprehensive Exercises
Chapter 8 Planar Kinematics of a Rigid Body
Chapter 8 Planar Kinematics of a Rigid Body
Chapter 9 Kinetics of a Particle
9.1 Newton’s laws of motion
9.2 Equations of motion
9.3 Examples
Chapter 9 Kinetics of a Particle
Chapter 9 Kinetics of a Particle
Chapter 10 Theorem of Linear Momentum
10.1 Impulse and Momentum
10.2 Principle of momentum
10.3 Principle of motion of mass center
Chapter 10 Theorem of Linear Momentum
Chapter 10 Theorem of Linear Momentum
Chapter 11 Principle of Angular Momentum
11.1 Principle of Angular Momentum
11.2 Differential Equations of Rotation of a Rigid Body about Fixed-Axis
11.3 Differential Equations of Plane Motion of Rigid Bodies
Chapter 11 Principle of Angular Momentum
Chapter 11 Principle of Angular Momentum
Chapter 12 Theorem of kinetic energy
12.1 Work of Force
12.2 Kinetic energy of particle and particle system
12.3 Theorem of kinetic energy and power equation
12.4 Field of conservative force and potential energy
12.5 Law of conservation of mechanical energy
12.6 Comprehensive application of the principals in Kinetics
Chapter 12 Theorem of kinetic energy
Chapter 12 Theorem of kinetic energy
Chapter 13 Impact
13.1 Definition and Theorem
13.2 Impact Problem of Particle
13.3 Impact Problem of Rigid Body
13.4 Comprehensive Examples
Chapter 13 Impact
Chapter 13 Impact
Chapter 14 D’Alembert’s Principle
14.1 Inertial Force and D’Alembert’s Principle for a Particle
14.2 D’Alembert’s Principle for a System of Particles
14.3 The Simplification of Inertial Forces for a Rigid Body Motion
14.4 Dynamical Reaction of the Bearing Subjected to Rotation of Rigid Body
Chapter 14 D’Alembert’s Principle
Chapter 14 D’Alembert’s Principle
Chapter 15 Principle of Virtual Displacement
15.1 Constraints and Classification
15.2 Virtual Displacement and Virtual Work
15.3 Principle of Virtual Displacement
Chapter 15 Principle of Virtual Displacement
Chapter 15 Principle of Virtual Displacement
高等数学
1. 阮诗伦，马红艳主编， 理论力学，科学出版社，2019
2. 马红艳主编， 理论力学解题指导，科学出版社，2019
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