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Statics (Master)

1. Introduction

Significant Figures

Dimensional Analysis

Conversion of Units

Estimation and Order of Magnitude

Scientific Notation

3. Equilibrium of a Particle

Conditions for Equilibrium

Free-Body / Force-Body Diagrams (FBD)

(2D) Pulleys, Ropes, Cables, Springs

3D Force Systems

(3D) Ropes, Cables, Springs

Practice Questions

4. Force System Resultants (Moment, Couple, Dist. Load)

Moment / Moment of a Force (M)

Moment (of a Force) About a Point

Moment (of a Force) about an axis or specified line

Moment (of a) Couple / Force Couple Moment

Force-Moment Systems (Reduction / Simplification of to Single F & M)

Distributed Loads

5. Equilibrium of Rigid Body

2D Rigid Body Equilibrium

2D Solution Method

3D Rigid Body Equilibrium

3D Solution Method

6. Structural Analysis - Trusses, Frames, Machines

Method of Joints

Method of Sections

Frames and Machines

7. Internal Forces

Internal Forces

Shear and Moment Diagrams

8. Friction

Tipping vs. Slipping

Friction Around Pulleys

9. Center of Gravity and Centriod

Centroids of Area

Optional: Centroids vs. Center of Mass

10. Moment of Inertia

Moments of Inertia & Parallel Axis Theorem

Dynamics (Master)

1. Transition to Dynamics

Dynamics Fundamentals

Review of Useful Trigonometric Equations & Laws of Sin & Cos

Review of Vector

Key Equations and Concepts

2. Kinematics of a Particle

Rectilinear Motion of Particle

Relative Motion of Two Particles

Curvilinear Motion of Particles

3. Kinematics: Relative Motion

Simple Relative Motion

Constrained Relative Motion

End of Chapter Practice Questions

4. Kinematics: Rectilinear Motion

Uniformly Accelerated Motion

Non-Uniformly Accelerated Motion

End of Chapter Practice Questions

5. Kinematics: Curvilinear Motion

Radial and Transverse Coordinates

6. Kinetics of Particle

Impending Motion

Rectilinear Motion

Curvilinear Motion

Relative Motion

End of Chapter Practice Questions

7. Energy Methods for a Particle

Conservation of Energy for a Particle

Conservation of Mechanical Energy for a Particle

End of Chapter Practice Questions

8. Work and Energy

Conservation of Energy for a Particle

Conservation of Mechanical Energy for a Particle

9. Impulse and Momentum

Impulse Methods

End of Chapter Practice Questions

10. Planar Kinematics of a Rigid Body

Simple Rigid Body Motion

General Planar Motion

11. Planar Kinetics of a Rigid Body

General Planar Motion

Constrained Motion

12. Energy Methods for Rigid Bodies

Conservation of Energy for a Rigid Body

13. Conclusion

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