ME 211 • 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

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