Канал: Mark Somerville

The Newest Bigfoot Chicks

The Newest Bigfoot Chicks

Mechanical Validation - Coding

Mechanical Validation - Coding

Mechanical Validation - Tracker

Mechanical Validation - Tracker

Mechanical Validation - Energy Conservation 1

Mechanical Validation - Energy Conservation 1

Mechanical Validation - Framework

Mechanical Validation - Framework

Mechanical Validation - Energy Conservation Part 2

Mechanical Validation - Energy Conservation Part 2

Mechanical Validation - Limiting Cases

Mechanical Validation - Limiting Cases

Mechanical Validation - Energy Conservation Part 3

Mechanical Validation - Energy Conservation Part 3

Space Cannon Modeling Example Part 7

Space Cannon Modeling Example Part 7

Space Cannon Modeling Example Part 6

Space Cannon Modeling Example Part 6

Space Cannon Modeling Example Part 5

Space Cannon Modeling Example Part 5

Space Cannon Modeling Example Part 4

Space Cannon Modeling Example Part 4

Space Cannon Modeling Example Part 3

Space Cannon Modeling Example Part 3

Space Cannon Modeling Example Part 2

Space Cannon Modeling Example Part 2

Space Cannon Modeling Example Part 1

Space Cannon Modeling Example Part 1

Complex Impedance Part 1

Complex Impedance Part 1

Complex Impedance Part 2

Complex Impedance Part 2

Interactions 2.2.3 - Example Walkthrough

Interactions 2.2.3 - Example Walkthrough

Interactions 2.2.1 - Example Walkthrough

Interactions 2.2.1 - Example Walkthrough

COM of discrete system

COM of discrete system

center of buoyancy

center of buoyancy

COM of distributed system

COM of distributed system

Using integrals to calculate equivalent forces

Using integrals to calculate equivalent forces

using integrals to calculate physical properties: making choices

using integrals to calculate physical properties: making choices

Using integrals to calculate physical properties of shapes: notation

Using integrals to calculate physical properties of shapes: notation

CharlotteSomervilleMontage

CharlotteSomervilleMontage

ExampleOfBeforeAndAfterLConservation

ExampleOfBeforeAndAfterLConservation

IntegralFormulationOfLConservation

IntegralFormulationOfLConservation

Generalized PDE Derivation Part 1

Generalized PDE Derivation Part 1

Generalized PDE Derivation Part 2

Generalized PDE Derivation Part 2

Models for Diffusive and Advective Flux Density

Models for Diffusive and Advective Flux Density

Stock and Flow PDE Derivation

Stock and Flow PDE Derivation

Taking Apart the General PDE

Taking Apart the General PDE

Terrible and Confusing Explanation of the Discretization of the Diffusion Equation

Terrible and Confusing Explanation of the Discretization of the Diffusion Equation

Divergence Attempt 1

Divergence Attempt 1

The Idea of Flux in more than one dimension

The Idea of Flux in more than one dimension

Flux Example Through a Cube

Flux Example Through a Cube

A Bad Derivation of the Divergence

A Bad Derivation of the Divergence

Another failed attempt to explain divergence

Another failed attempt to explain divergence

Calculating Flux Polar Case

Calculating Flux Polar Case

Defining dA with a unit vector

Defining dA with a unit vector

Initial and Boundary Conditions

Initial and Boundary Conditions

Example of Deriving a PDE from Conservation

Example of Deriving a PDE from Conservation

Diffusion Flux

Diffusion Flux

Flux due to Advection

Flux due to Advection

Using Linearity Ideas to Solve the Two Stock Iron Bar

Using Linearity Ideas to Solve the Two Stock Iron Bar

Deriving the basic heat equation mark's sucky version

Deriving the basic heat equation mark's sucky version

Flux Intro

Flux Intro

Analyzing the Single Stock Case

Analyzing the Single Stock Case

Initial Framing of the Bar Problem Case 2

Initial Framing of the Bar Problem Case 2

Initial Framing of the Bar Problem Case 1

Initial Framing of the Bar Problem Case 1

plume

plume

Informal Presentation Overview for ModSim

Informal Presentation Overview for ModSim

GradientDescentPart2

GradientDescentPart2

AnalyticalMultivarMinsPart2Hessian

AnalyticalMultivarMinsPart2Hessian

AnalyticalMultivarMinsPart4Hessian

AnalyticalMultivarMinsPart4Hessian

AnalyticalMultivarMinsPart1

AnalyticalMultivarMinsPart1

GradientDescentPart1

GradientDescentPart1

AnalyticalMultivarMinsPart3HessianExample

AnalyticalMultivarMinsPart3HessianExample

Intro to Del and Gradient

Intro to Del and Gradient

Gradient in MATLAB

Gradient in MATLAB

First Intro to Partial Derivatives

First Intro to Partial Derivatives

A Chain Rule Example

A Chain Rule Example

A More Complex Partial Derivative Example

A More Complex Partial Derivative Example

Using MATLAB for Sensitivity Cut Version

Using MATLAB for Sensitivity Cut Version

Qualitative Explanation of Sensitivity Analysis

Qualitative Explanation of Sensitivity Analysis

An Explanation of the Simplex Method

An Explanation of the Simplex Method

Partial Derivatives Part 1

Partial Derivatives Part 1

Partial Derivatives Part 2

Partial Derivatives Part 2

Connecting the Lagrangian to F=ma

Connecting the Lagrangian to F=ma

From Potential to Force Part 2

From Potential to Force Part 2

The World is a Spring

The World is a Spring

A Comment on Dissipative Systems

A Comment on Dissipative Systems

Intro to the Lagrangian

Intro to the Lagrangian

From Potential to Force Part 1

From Potential to Force Part 1

Lagrangian Example 2

Lagrangian Example 2

Example of Energy Flow in a Rocket

Example of Energy Flow in a Rocket

Work Depends on Path

Work Depends on Path

Calculating Potential Energy Part 1

Calculating Potential Energy Part 1

From Work to Power

From Work to Power

Some Examples of Force Fields

Some Examples of Force Fields

Calculating Kinetic Energy

Calculating Kinetic Energy

Potential Energy For Multiple Interactions

Potential Energy For Multiple Interactions

Conservative Forces Part 1

Conservative Forces Part 1

Connecting 1D Work to the Spring Example

Connecting 1D Work to the Spring Example

When can you use different types of conservation

When can you use different types of conservation

Before and After Framing Momentum and Energy

Before and After Framing Momentum and Energy

Looking at Energy Surfaces in MATLAB

Looking at Energy Surfaces in MATLAB

Work Part 1 1D example

Work Part 1 1D example

Calculating Potential Energy Part 2

Calculating Potential Energy Part 2

An Example of Energy Conservation and System Boundaries

An Example of Energy Conservation and System Boundaries

Example of Validation Skateboard Part 1

Example of Validation Skateboard Part 1

Introduction to the Idea of Using Energy for Before and After Framing

Introduction to the Idea of Using Energy for Before and After Framing

Example of Validation Skateboard Part 2

Example of Validation Skateboard Part 2

Energy Definition, Units, and Storage

Energy Definition, Units, and Storage

Overview of Module 4

Overview of Module 4

Caber Toss Part 2

Caber Toss Part 2

Caber Toss Part 3

Caber Toss Part 3

Caber Toss Part 4

Caber Toss Part 4

A Comment on Systems Involving Multiple Parts

A Comment on Systems Involving Multiple Parts

Overview of Process

Overview of Process

YoYo Example

YoYo Example

Skidding Car Example

Skidding Car Example

Caber Toss Part 1

Caber Toss Part 1

Intro to Angular Momentum

Intro to Angular Momentum

A Comment on Torque and Origin Choice

A Comment on Torque and Origin Choice

Angular Momentum of Rotating Translating Objects

Angular Momentum of Rotating Translating Objects

A Torque Speed Example

A Torque Speed Example

A Statics Example

A Statics Example

Intro to Torque

Intro to Torque

Moment of Inertia

Moment of Inertia

Motion of Points on a Rolling Object

Motion of Points on a Rolling Object

Net Torque and Net Force

Net Torque and Net Force

Rolling Motion as Constrained Motion

Rolling Motion as Constrained Motion

Summary comments on angular momentum

Summary comments on angular momentum

Torque FBD Example Bike

Torque FBD Example Bike

Big Picture and Rotation Translation Analogy

Big Picture and Rotation Translation Analogy

A second angular velocity example

A second angular velocity example

Generalized angular velocity

Generalized angular velocity

Angular acceleration example 1

Angular acceleration example 1

Angular velocity with rotation and translatin

Angular velocity with rotation and translatin

Angular acceleration example 2

Angular acceleration example 2

Definition and simple example of angular velocity

Definition and simple example of angular velocity

Pogo Stick Example Part 2

Pogo Stick Example Part 2

Soup To Nuts Ping Pong Ball Example

Soup To Nuts Ping Pong Ball Example

Pogo Stick Example Part 3

Pogo Stick Example Part 3

Pogo Stick Example Part 1

Pogo Stick Example Part 1

Impulse Example

Impulse Example

Rocket Equation Derivation

Rocket Equation Derivation

Definition of impulse

Definition of impulse

Bonus footage

Bonus footage

Momentum depends on reference frame

Momentum depends on reference frame

COM Part 1

COM Part 1

COM Part 2

COM Part 2

Conceptual System Boundary Example 1 part 2

Conceptual System Boundary Example 1 part 2

Conceptual System Boundary Example 1

Conceptual System Boundary Example 1

Definition of Momentum

Definition of Momentum

Momentum and Free Body Diagrams

Momentum and Free Body Diagrams

Connecting Trajectories and FBDs Part 1

Connecting Trajectories and FBDs Part 1

Connecting Trajectories and FBDs Part 2

Connecting Trajectories and FBDs Part 2

FBD Example Systems and SubSystems

FBD Example Systems and SubSystems

FBD Example 1

FBD Example 1

Types of Phenomenological Forces

Types of Phenomenological Forces

Static and Kinetic Friction 2

Static and Kinetic Friction 2

Static and Kinetic Friction 1

Static and Kinetic Friction 1

Spring Forces

Spring Forces

Module 2 Overview

Module 2 Overview

Module 2 Overview 2

Module 2 Overview 2

Lift and Drag

Lift and Drag

Intro to Forces and Fundamental Forces

Intro to Forces and Fundamental Forces

Gravitational Interaction

Gravitational Interaction

Constraint Forces 2

Constraint Forces 2

Constraint Forces 1

Constraint Forces 1

Natural Coordinate Systems Part 1

Natural Coordinate Systems Part 1

Natural Coordinate Systems Part 2

Natural Coordinate Systems Part 2

thinking about dot products with position velocity and acceleration

thinking about dot products with position velocity and acceleration

Introducing position velocity and acceleration

Introducing position velocity and acceleration

Time derivatives of polar unit vectors part 2

Time derivatives of polar unit vectors part 2

deriving uniform circular motion in polar coordinates

deriving uniform circular motion in polar coordinates

Converting between polar and cartesian

Converting between polar and cartesian

Intro to Cartesian and Polar Coordinates

Intro to Cartesian and Polar Coordinates

Intro to Unit Vectors for Polar Coordinates

Intro to Unit Vectors for Polar Coordinates

module 1 overview

module 1 overview

Taking a time derivative in cartesian coordinates

Taking a time derivative in cartesian coordinates

Time derivatives of polar unit vectors 1

Time derivatives of polar unit vectors 1

vector valued functions

vector valued functions

deriving non uniform circular motion in polar coordinates 1

deriving non uniform circular motion in polar coordinates 1

computing cross product

computing cross product

What is a vector?

What is a vector?

A unit vector example

A unit vector example

Finding magnitude and direction of vectors

Finding magnitude and direction of vectors

Adding vectors

Adding vectors

Multiplying a vector by a scalar

Multiplying a vector by a scalar

finding the dot product

finding the dot product

graphical cross product

graphical cross product