ME 221 • Midterm • Statics

Introduction and Fundamental Concepts

Units of Measurement and Numerical Calculations

Vector Operations, Vector Addition of Forces

Resultant Force Example-1

Vector Components Example

Resultant Force Example-2

Addition of Coplanar Forces

Resultant of Coplanar Forces Example-1

Cartesian Vectors

Cartesian Vectors Example-1

Cartesian Vectors Example-2

Cartesian Vectors Example-3

Position Vectors, Unit Vector and Force Vector Along A Line

Position Vector Example-1

Force Vector Example-1

Position Vector Example-2

Position Vector Example-3

Dot (Scalar) Product of Vectors

Dot Product Example-1

Dot Product Example-2

Dot Product Example-3

Chapter Review

Equilibrium, How to Draw a Free Body Diagram (FBD)

Coplanar Force Systems (Equilibrium in 2D)

Coplanar Force Systems Example-1

Coplanar Force Systems Example-2

Three Dimensional Force Systems (Equilibrium in 3D)

Three Dimensional Force Systems Example-1

Three Dimensional Force Systems Example-2

Chapter Review

What is Moment?

Moment of a Force: Scalar Formulation

Moment of a Force: Vector Formulation

Moment of a Force Example-1

Moment of a Force Example-2

Moment of Force Components: Varignon's Theorem

Moment of Force Components Example

Moment of a Force About an Axis

Moment About an Axis Example

Moment of a Couple

Moment of a Couple Example-1

Moment of a Couple Example-2

Simplification of a Force and Couple System

Reduction to a Given Point Example

Further Simplifications of a Force and Couple System

Reduction to a Single Force Example

Reduction of a Parallel Force System Example

Reduction of a Simple Distributed Loading

Distributed Loading Example

Chapter Review

Equilibrium of a Rigid Body in 2D

Moment of a Force About an Axis

Equivalent Force and Couple System at a Point

Equilibrium of a Rigid Body in 3D

Force Vectors

Force System Resultants

Moment About an Axis

Moment About a Point

Vectors (Conceptual Question)

Vectors (Resultant and Components Along Given Axes)

Vectors (3D Vectors and Direction Cosines)

Equilibrium in of a Particle

Equilibrium of a Particle in 2D

Equilibrium of a Rigid Body in 2D

Equilibrium of Rigid Body in 2D

Moment of a Force About an Axis

Moment of a Couple in 3D

Force System Resultants

Force System Resultants

Equilibrium of a Rigid Body in 3D

Equilibrium for Rigid Body in 3D

Equilibrium of Rigid Body in 3D

Equilibrium of Rigid Body in 3D

Equilibrium in 3D (Moment About an Axis)

Equilibrium in 3D (Moment About an Axis)

Equilibrium of a Particle in 2D

Equilibrium of a Particle in 3D

Force System Resultants: Moment of a Force

Force System Resultants: Reduction to a Given Point

Force System Resultants

Force System Resultants

Equilibrium of a Particle

Formula Sheet for All Chapters