Nguồn ngoài

Classical Mechanics

The principles of mechanics successfully described many phenomena encountered in the world. Conservation laws involving energy, momentum and angular momentum provided a second parallel approach to solving many of the same problems. This text investigate both approaches: Force and conservation laws to develop a conceptual understanding of the core concepts, a familiarity with the experimental verification of our theoretical laws, and an ability to predict the motions of bodies.

Classical Mechanics Physics

Tác giả: Peter Dourmashkin
Nhà xuất bản: Massachusetts Institute of Technology
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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01: Introduction to Classical Mechanics
1.01: Introduction
02: Units Dimensional Analysis Problem Solving and Estimation
2.01: The Speed of light
2.02: International System of Units
2.03: Dimensions of Commonly Encountered Quantities
2.04: Order of Magnitude Estimates - Fermi Problems
03: Vectors
3.01: Vector Analysis
3.02: Coordinate Systems
3.03: Vectors
3.04: Vector Product (Cross Product).
04: One Dimensional Kinematics
4.01: Introduction to One Dimensional Kinematics
4.02: Position Time Interval and Displacement
4.03: Velocity
4.04: Acceleration
4.05: Constant Acceleration
4.06: One Dimensional Kinematics and Integration
05: Two Dimensional Kinematics
5.01: Introduction to the Vector Description of Motion in Two Dimensions
5.02: Projectile Motion
06: Circular Motion
6.01: Introduction to Circular Motion
6.02: Circular Motion- Velocity and Angular Velocity
6.03: Circular Motion- Tangential and Radial Acceleration
6.04: Period and Frequency for Uniform Circular Motion
6.05: Angular Velocity and Angular Acceleration
6.06: Non-circular Central Motion
07: Newtons Laws of Motion
7.01: Force and Quantity of Matter
7.02: Newtons First Law
7.03: Momentum Newtons Second Law and Third Law
7.04: Newtons Third Law- Action-Reaction Pairs
08: Applications of Newtons Second Law
8.01: Force Laws
8.02: Fundamental Laws of Nature
8.03: Constraint Forces
8.04: Free-body Force Diagram
8.05: Tension in a Rope
8.06: Drag Forces in Fluids
8.07: Worked Examples
09: Circular Motion Dynamics
9.01: Introduction Newtons Second Law and Circular Motion
9.02: Universal Law of Gravitation and the Circular Orbit of the Moon
9.03: Worked Examples Circular Motion
9.04: Appendix 9A The Gravitational Field of a Spherical Shell of Matter .
10: Momentum System of Particles and Conservation of Momentum
10.01: Introduction
10.02: Momentum (Quantity of Motion) and Average Impulse
10.03: External and Internal Forces and the Change in Momentum of a System
10.04: System of Particles
10.05: Center of Mass
10.06: Translational Motion of the Center of Mass
10.07: Constancy of Momentum and Isolated Systems
10.08: Momentum Changes and Non-isolated Systems
10.09: Worked Examples
11: Reference Frames
11.01: Introduction to Reference Frames
11.02: Galilean Coordinate Transformations
11.03: Law of Addition of Velocities - Newtonian Mechanics
11.04: Worked Examples
12: Momentum and the Flow of Mass
12.01: Introduction to Momentum and the Flow of Mass
12.02: Worked Examples
12.03: Rocket Propulsion
13: Energy Kinetic Energy and Work
13.01: The Concept of Energy and Conservation of Energy
13.02: Kinetic Energy
13.03: Kinematics and Kinetic Energy in One Dimension
13.04: Work done by Constant Forces
13.05: Work done by Non-Constant Forces
13.06: Work-Kinetic Energy Theorem
13.07: Power Applied by a Constant Force
13.08: Work and the Scalar Product
13.09: Work done by a Non-Constant Force Along an Arbitrary Path
13.10: Worked Examples
13.11: Work-Kinetic Energy Theorem in Three Dimensions
13.12: Appendix 13A Work Done on a System of Two Particles
14: Potential Energy and Conservation of Energy
14.01: Conservation of Energy
14.02: Conservative and Non-Conservative Forces
14.03: Changes in Potential Energies of a System
14.04: Change in Potential Energy and Zero Point for Potential Energy
14.05: Mechanical Energy and Conservation of Mechanical Energy
14.06: Spring Force Energy Diagram
14.07: Change of Mechanical Energy for Closed System with Internal Nonconservative Forces
14.08: Dissipative Forces- Friction
14.09: Worked Examples
15: Collision Theory
15.01: Introduction to Collision Theory
15.02: Reference Frames and Relative Velocities
15.03: Characterizing Collisions
15.04: One-Dimensional Collisions Between Two Objects
15.05: Worked Examples
15.06: Two Dimensional Elastic Collisions
15.07: Two-Dimensional Collisions in Center-of-Mass Reference Frame
16: Two Dimensional Rotational Kinematics
16.01: Introduction
16.02: Fixed Axis Rotation- Rotational Kinematics
16.03: Rotational Kinetic Energy and Moment of Inertia
16.04: Conservation of Energy for Fixed Axis Rotation
16.05: Appendix 16A- Proof of the Parallel Axis Theorem
17: Two-Dimensional Rotational Dynamics
17.01: Introduction to Two-Dimensional Rotational Dynamics
17.02: Vector Product (Cross Product)
17.03: Torque
17.04: Torque Angular Acceleration and Moment of Inertia
17.05: Torque and Rotational Work
18: Static Equilibrium
18.01: Introduction Static Equilibrium
18.02: Lever Law
18.03: Generalized Lever Law
18.04: Worked Examples
18.05: Appendix 18A The Torques About any Two Points are Equal for a Body in Static Equilibrium
19: Angular Momentum
19.01: Introduction
19.02: Angular Momentum about a Point for a Particle
19.03: Torque and the Time Derivative of Angular Momentum about a Point for a Particle
19.04: Conservation of Angular Momentum about a Point
19.05: Angular Impulse and Change in Angular Momentum
19.06: Angular Momentum of a System of Particles
19.07: Angular Momentum and Torque for Fixed Axis Rotation
19.08: Principle of Conservation of Angular Momentum
19.09: External Angular Impulse and Change in Angular Momentum
20: Rigid Body Kinematics About a Fixed Axis
20.01: Introduction
20.02: Constrained Motion - Translation and Rotation
20.03: Angular Momentum for a System of Particles Undergoing Translational and Rotational
20.04: Kinetic Energy of a System of Particles
20.05: Rotational Kinetic Energy for a Rigid Body Undergoing Fixed Axis Rotation
20.06: Appendix 20A Chasless Theorem- Rotation and Translation of a Rigid Body
21: Rigid Body Dynamics About a Fixed Axis
21.01: Introduction to Rigid Body Dynamics
21.02: Translational Equation of Motion
21.03: Translational and Rotational Equations of Motion
21.04: Translation and Rotation of a Rigid Body Undergoing Fixed Axis Rotation
21.05: Work-Energy Theorem
21.06: Worked Examples
22: Three Dimensional Rotations and Gyroscopes
22.01: Introduction to Three Dimensional Rotations
22.02: Gyroscope
22.03: Why Does a Gyroscope Precess
22.04: Worked Examples
23: Simple Harmonic Motion
23.01: Introduction to Periodic Motion
23.02: Simple Harmonic Motion- Analytic
23.03: Energy and the Simple Harmonic Oscillator
23.04: Worked Examples
23.05: Damped Oscillatory Motion
23.06: Forced Damped Oscillator
23.07: Small Oscillations
23.08: Appendix 23A- Solution to Simple Harmonic Oscillator Equation
23.09: Appendix 23B - Complex Numbers
23.10: Solution to the Underdamped Simple Harmonic Oscillator
23.11: Solution to the Forced Damped Oscillator Equation
24: Physical Pendulums
24.01: Introduction to Physical Pendulums
24.02: Physical Pendulum
24.03: Worked Examples
24.04: Appendix 24A Higher-Order Corrections to the Period for Larger Amplitudes of a Simple Pendulum
25: Celestial Mechanics
25.01: Introduction- The Kepler Problem
25.02: Planetary Orbits
25.03: Energy and Angular Momentum Constants of the Motion
25.04: Energy Diagram Effective Potential Energy and Orbits
25.05: Orbits of the Two Bodies
25.06: Keplers Laws
25.07: Worked Examples
25.08: Appendix 25A Derivation of the Orbit Equation
25.09: Appendix 25B Properties of an Elliptical Orbit
25.10: Appendix 25C Analytic Geometric Properties of Ellipses
26: Elastic Properties of Materials
26.01: Introduction
26.02: Stress and Strain in Tension and Compression
26.03: Shear Stress and Strain
26.04: Elastic and Plastic Deformation
27: Static Fluids
27.01: Introduction to Static Fluids
27.02: Density
27.03: Pressure in a Fluid
27.04: Pascals Law - Pressure as a Function of Depth in a Fluid of Uniform Density in a Uniform Gravitational Field
27.5: Compressibility of a Fluid
27.6: Archimedes’ Principle - Buoyant Force
28: Fluid Dynamics
28.01: Ideal Fluids
28.02: Velocity Vector Field
28.03: Mass Continuity Equation
28.04: Bernoullis Principle
28.05: Worked Examples- Bernoullis Equation
28.06: Laminar and Turbulent Flow
29: Kinetic Theory of Gases
29.01: Introduction- Gases
29.02: Temperature and Thermal Equilibrium
29.03: Internal Energy of a Gas
29.04: Ideal Gas
29.05: Atmosphere