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Mechanics Map 2nd Edition

The Mechanics Map is an open textbook for engineering statics and dynamics containing written explanations, video lectures, worked examples, and homework problems.

Mechanical Engineering Engineering

Tác giả: Jacob Moore & Contributore
Nhà xuất bản: Penn State Mont Alto
Nguồn: LibreTexts
Giấy phép: CC BY-SA
Ngôn ngữ: EN

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 155 mục

01: Basics of Newtonian Mechanics
1.01: Video Introduction to Chapter 1
1.02: Bodies
1.03: Position Displacement Velocity and Acceleration
1.04: Forces
1.05: Orientation Angular Displacement Angular Velocity and Angular Acceleration
1.06: Moments
1.07: Free Body Diagrams
1.08: Newton's First Law
1.09: Newton's Second Law
1.10: Newton's Third Law
1.11: Chapter Homework Problems
02: Static Equilibrium in Concurrent Force Systems
2.01: Chapter 2 Video Introduction
2.02: Static Equilibrium
2.03: Point Forces
2.04: Principle of Transmissibility
2.05: Concurrent Forces
2.06: Equilibrium Analysis for Concurrent Force Systems
2.07: Chapter Homework Problems
03: Static Equilibrium in Rigid Body Systems
3.01: Video Introduction to Chapter 3
3.02: Moment of a Force about a Point (Scalar Calculation)
3.03: Varignon's Theorem
3.04: Couples
3.05: Moment about a Point (Vector)
3.06: Moment of a Force About an Axis
3.07: Equilibrium Analysis for a Rigid Body
3.08: Chapter Homework Problems
04: Statically Equivalent Systems
4.01: Video Introduction to Chapter 4
4.02: Statically Equivalent Systems
4.03: Resolution of a Force into a Force and a Couple
4.04: Equivalent Force Couple System
4.05: Distributed Forces
4.06: Equivalent Point Load via Integration
4.07: Equivalent Point Load via Composite Parts
4.08: Chapter Homework Problems
05: Engineering Structures
5.01: Video Introduction to Chapter 5
5.02: Structures
5.03: Two-Force Members
5.04: Method of Joints
5.05: Method of Sections
5.06: Analysis of Frames and Machines
5.07: Chapter Homework Problems
06: Internal Forces
6.01: Internal Forces Video Introduction
6.02: Internal Forces
6.03: Finding Internal Forces via Equilibrium Analysis
6.04: Axial Force Diagrams and Torsion Diagrams
6.05: Shear and Moment Diagrams
6.06: Chapter Homework Problems
07: Friction and Friction Applications
7.01: Video Introduction to Chapter 6
7.02: Dry Friction
7.03: Slipping vs Tipping
7.04: Wedges
7.05: Power Screws
7.06: Bearing Friction
7.07: Disc Friction
7.08: Belt Friction
7.09: Chapter Homework Problems
08: Particle Kinematics
8.01: Video Introduction to Chapter 7
8.02: One-Dimensional Continuous Motion
8.03: One-Dimensional Noncontinuous Motion
8.04: Two-Dimensional Kinematics with Rectangular Coordinates
8.05: Two-Dimensional Kinematics with Normal-Tangential Coordinates
8.06: Two-Dimensional Motion with Polar Coordinates
8.07: Dependent Motion Systems
8.08: Relative Motion Systems
8.09: Chapter Homework Problems
09: Newton's Second Law for Particles
9.01: Video Introduction to Chapter 8
9.02: One-Dimensional Equations of Motion
9.03: Equations of Motion in Rectangular Coordinates
9.04: Equations of Motion in Normal-Tangential Coordinates
9.05: Equations of Motion in Polar Coordinates
9.06: Chapter Homework Problems
10: Work and Energy in Particles
10.01: Video Introduction
10.02: Work Kinetic Energy and Potential Energy for Particles
10.03: Work and Energy Principle for Particles
10.04: Power for Particles
10.05: Efficiency for Particles
10.06: Work and Energy for Systems of Particles
10.07: Chapter Homework Problems
10.08: Efficiency for Particles
10.09: Conservation of Energy for Particles
10.10: Power and Efficiency for Particles
10.11: Conservation of Energy for Systems of Particles
11: Impulse and Momentum in Particles
11.01: Video Introduction
11.02: Impulse-Momentum Equations for a Particle
11.03: The Impulse-Momentum Principle for Particles
11.04: Surface Collisions and the Coefficient of Restitution
11.05: Particle Collisions in One Dimension
11.06: Two-Dimensional Particle Collisions
11.07: Steady-Flow Devices
11.08: Chapter Homework Problems
12: Rigid Body Kinematics
12.01: Rigid Body Kinematics Video Introduction
12.02: Fixed Axis Rotation Systems (Scalar)
12.03: Fixed Axis Rotation in Rigid Bodies Using Vectors
12.04: Belt- and Gear-Driven Systems
12.05: Absolute Motion Analysis
12.06: Relative Motion Analysis
12.07: Instantaneous Center of Zero Velocity
12.08: Rotating Frame Analysis
12.09: Chapter 11 Homework Problems
13: Newton's Second Law for Rigid Bodies
13.01: Newton's Second Law for Rigid Bodies Video Introduction
13.02: Rigid Body Translation
13.03: Fixed-Axis Rotation
13.04: General Planar Motion
13.05: Multi-Body Kinetics
13.06: Homework Problems
14: Work and Energy in Rigid Bodies
14.01: Rigid Body Work and Energy Video Introduction
14.02: Work Kinetic Energy and Potential Energy for Rigid Bodies
14.03: Principle of Work and Energy for Rigid Bodies
14.04: Power in Rigid Body Systems
14.05: Efficiency in Rigid Body Systems
14.06: Homework Problems
15: Impulse and Momentum in Rigid Bodies
15.01: Rigid Body Impulse Momentum Video Introduction
15.02: Impulse and Momentum for a Rigid Body System
15.03: The Impulse Momentum Theorem for a Rigid Body
15.04: Impulse-Momentum Equations for a Rigid Body
15.05: Rigid Body Surface Collisions
15.06: Free Rigid Body Collisions
15.07: Homework Problems
16: Vibrations with One Degree of Freedom
16.01: Undamped Free Vibrations
16.02: Viscous Damped Free Vibrations
16.03: Friction (Coulomb) Damped Free Vibrations
16.04: Undamped Harmonic Forced Vibrations
16.05: Viscous Damped Harmonic Forced Vibrations
17: Appendix 1 - Vector and Matrix Math
17.01: Vectors
17.02: Vector Addition
17.03: Dot Product
17.04: Cross Product
17.05: Solving Systems of Equations with Matrices
17.06: Appendix 1 Homework Problems
18: Appendix 2 - Moment Integrals
18.01: Moment Integrals
18.02: Centroids of Areas via Integration
18.03: Centroids in Volumes and Center of Mass via Integration
18.04: Centroids and Centers of Mass via Method of Composite Parts
18.05: Area Moments of Inertia via Integration
18.06: Mass Moments of Inertia via Integration
18.07: Moments of Inertia via Composite Parts and Parallel Axis Theorem
19: Appendix 3 Homework Problems