Канал: Virtually Passed

Index Theory animation #nonlinear #maths

Index Theory animation #nonlinear #maths

Space Shuttle Sring Art #algorithm #art #algorithmicart

Space Shuttle Sring Art #algorithm #art #algorithmicart

Spring Mass Damper #maths #nonlinear #phase

Spring Mass Damper #maths #nonlinear #phase

Gauss String Art #algorithm #drawing #art #mathematics #stringart

Gauss String Art #algorithm #drawing #art #mathematics #stringart

Euler String Art #algorithm #art #stringart #mathematics

Euler String Art #algorithm #art #stringart #mathematics

Eye String Art #algorithm #art #mathematics #stringart

Eye String Art #algorithm #art #mathematics #stringart

Woman with Glasses String Art #algorithm #art #mathematics #stringart

Woman with Glasses String Art #algorithm #art #mathematics #stringart

Elephant String Art #art #algorithm #mathematics #stringart

Elephant String Art #art #algorithm #mathematics #stringart

Mona Lisa String Art #art #stringart #mathematics #algorithm

Mona Lisa String Art #art #stringart #mathematics #algorithm

How To Make a Computer Create Something Beautiful: String Art #SoMEpi

How To Make a Computer Create Something Beautiful: String Art #SoMEpi

The Mathematics of String Art

The Mathematics of String Art

5.0 A better way to understand Differential Equations | Nonlinear Dynamics | Bendixson's Criterion

5.0 A better way to understand Differential Equations | Nonlinear Dynamics | Bendixson's Criterion

4.0 A better way to understand Differential Equations | Nonlinear Dynamics | Index Theory

4.0 A better way to understand Differential Equations | Nonlinear Dynamics | Index Theory

Least Squares Formula PROOF

Least Squares Formula PROOF

Fitting a Line using Least Squares #SoME2

Fitting a Line using Least Squares #SoME2

3.1 Linearization PROOF | Nonlinear Dynamics

3.1 Linearization PROOF | Nonlinear Dynamics

1.1 Stability of Fixed Points PROOF | Nonlinear Dynamics

1.1 Stability of Fixed Points PROOF | Nonlinear Dynamics

3.0 A better way to understand Differential Equations | Nonlinear Dynamics | Linearization

3.0 A better way to understand Differential Equations | Nonlinear Dynamics | Linearization

2.0 A better way to understand Differential Equations | Nonlinear Dynamics | 2D Linear Diff Eqns

2.0 A better way to understand Differential Equations | Nonlinear Dynamics | 2D Linear Diff Eqns

1.0 A better way to understand Differential Equations | Nonlinear Dynamics | 1D Linear Diff Eqns

1.0 A better way to understand Differential Equations | Nonlinear Dynamics | 1D Linear Diff Eqns

Radius of Curvature Proof - approximating a curve with a circle!

Radius of Curvature Proof - approximating a curve with a circle!

(1+k/x)^x #shorts

(1+k/x)^x #shorts

Proof of e #shorts

Proof of e #shorts

Reflection Matrix Proof

Reflection Matrix Proof

Can YOU find the offset of this circle? Math Puzzle

Can YOU find the offset of this circle? Math Puzzle

Energy analysis of forced spring mass damper system

Energy analysis of forced spring mass damper system

Can you change vibration speed? #VeritasiumContest

Can you change vibration speed? #VeritasiumContest

Mathematics of Vibration [Part 2: Harmonic Excitation]

Mathematics of Vibration [Part 2: Harmonic Excitation]

Bayes' theorem alternative proof (using algebra)

Bayes' theorem alternative proof (using algebra)

Optimal path to swim across river in least time - Math Puzzle (HARD)

Optimal path to swim across river in least time - Math Puzzle (HARD)

Time to swim across river with variable speed - Math Puzzle

Time to swim across river with variable speed - Math Puzzle

Optimal path to rescue friend - Math Puzzle

Optimal path to rescue friend - Math Puzzle

Optimal Path Around Quicksand - Math Puzzle (HARD)

Optimal Path Around Quicksand - Math Puzzle (HARD)

Conservation of Mechanical Energy Proof (2DoF)

Conservation of Mechanical Energy Proof (2DoF)

Conservation of Mechanical Energy Proof (1DoF)

Conservation of Mechanical Energy Proof (1DoF)

Harmonic Force Excitation Steady State Amplitude and Phase Proof

Harmonic Force Excitation Steady State Amplitude and Phase Proof

Math Puzzle - Zombies!!!

Math Puzzle - Zombies!!!

Math Puzzle - Area of N sided shape

Math Puzzle - Area of N sided shape

Math Puzzle - How many circles wrap around a circle?

Math Puzzle - How many circles wrap around a circle?

Second Moment of Area Example 4 (I beam)

Second Moment of Area Example 4 (I beam)

Second Moment of Area Example 3

Second Moment of Area Example 3

Second Moment of Area Example 2

Second Moment of Area Example 2

Second Moment of Area Example 1

Second Moment of Area Example 1

Wave equation: Vibrating String Proof

Wave equation: Vibrating String Proof

Vibrating String Summary

Vibrating String Summary

2DOF Spring Mass System Proof

2DOF Spring Mass System Proof

2 Degree of Freedom vibrating system Summary

2 Degree of Freedom vibrating system Summary

Spring Mass system Proof

Spring Mass system Proof

Relative Motion with rotating axes example 1

Relative Motion with rotating axes example 1

Relative Motion with rotating reference axes Example (part 2)

Relative Motion with rotating reference axes Example (part 2)

Relative Motion with rotating reference axes Example (part 1)

Relative Motion with rotating reference axes Example (part 1)

Maths Puzzle - 3 hikers stranded by a lake.

Maths Puzzle - 3 hikers stranded by a lake.

Relative acceleration (with rotating axes) Proof

Relative acceleration (with rotating axes) Proof

Relative velocity (with rotating axes) Proof

Relative velocity (with rotating axes) Proof

Relative motion (with rotating axes) Summary

Relative motion (with rotating axes) Summary

Statics Formula Sheet

Statics Formula Sheet

Dynamics Formula Sheet

Dynamics Formula Sheet

Adding Forces Example 1

Adding Forces Example 1

Moments Example 2

Moments Example 2

Moments Example 1

Moments Example 1

Moments Summary

Moments Summary

Reactions Example 1

Reactions Example 1

Tension and Pulleys example 2

Tension and Pulleys example 2

Tension and Pulleys in static equilibrium Example 1

Tension and Pulleys in static equilibrium Example 1

Pulleys and Tension in static equilibrium Summary

Pulleys and Tension in static equilibrium Summary

Adding Forces summary

Adding Forces summary

Static Friction Example 1

Static Friction Example 1

SFD and BMD example 3

SFD and BMD example 3

Pulley example 1

Pulley example 1

Pulley Summary

Pulley Summary

Second Moment of Area Summary

Second Moment of Area Summary

Reactions Summary

Reactions Summary

Loading, Shear and Moment relationships Summary

Loading, Shear and Moment relationships Summary

SFD and BMD example 2

SFD and BMD example 2

Math Puzzle - ball in parabolic dish

Math Puzzle - ball in parabolic dish

Position Velocity and Acceleration example 1

Position Velocity and Acceleration example 1

SFD and BMD example 1

SFD and BMD example 1

Shear Force and Bending Moment summary

Shear Force and Bending Moment summary

Math Puzzle - Inventing a function

Math Puzzle - Inventing a function

Math Puzzle - climbing a mountain

Math Puzzle - climbing a mountain

Method of sections example 1

Method of sections example 1

Method of Sections summary

Method of Sections summary

Radius of Curvature Proof

Radius of Curvature Proof

Math Puzzle - Running on sand

Math Puzzle - Running on sand

Method of joints example 2

Method of joints example 2

Method of joints example 1

Method of joints example 1

Method of joints summary

Method of joints summary

Projectile Motion proof

Projectile Motion proof

Math puzzle - Rolling dice 6 times

Math puzzle - Rolling dice 6 times

Maths Puzzle - Probability of repeating event infinite times

Maths Puzzle - Probability of repeating event infinite times

Impulse and Momentum for a System of Particles Proof

Impulse and Momentum for a System of Particles Proof

Constrained motion example 1

Constrained motion example 1

Constrained motion of connected particles summary

Constrained motion of connected particles summary

Conservation of Momentum Proof

Conservation of Momentum Proof

Sum of Moments equals I alpha proof

Sum of Moments equals I alpha proof

Polar Coordinates Example 1

Polar Coordinates Example 1

Projection Vector Proof

Projection Vector Proof

Radius of Gyration summary

Radius of Gyration summary

Dot product and angle between two vectors proof

Dot product and angle between two vectors proof

Binomial Expansion Proof

Binomial Expansion Proof

Rotating Unbalance Summary

Rotating Unbalance Summary

Harmonic Motion of the base summary

Harmonic Motion of the base summary

Damping summary

Damping summary

Harmonic Force Excitation summary

Harmonic Force Excitation summary

Logarithmic Decrement Summary

Logarithmic Decrement Summary

Frequency Amplitude and Period for underdamped motion summary

Frequency Amplitude and Period for underdamped motion summary

Underdamped Critically Damped and Overdamped motion summary

Underdamped Critically Damped and Overdamped motion summary

Spring Mass Damper systems summary

Spring Mass Damper systems summary

Frequency Amplitude and Period Summary

Frequency Amplitude and Period Summary

Spring Mass Systems Summary

Spring Mass Systems Summary

Pulley example

Pulley example

Conservation of Momentum example 1

Conservation of Momentum example 1

Conservation of Momentum Summary

Conservation of Momentum Summary

Impulse and Momentum example 2

Impulse and Momentum example 2

Impulse and Momentum example 1

Impulse and Momentum example 1

Impulse and Momentum summary

Impulse and Momentum summary

Work and Energy for Rigid Bodies summary

Work and Energy for Rigid Bodies summary

Work Energy Example 1

Work Energy Example 1

Work Energy proof part 4

Work Energy proof part 4

Work Energy proof part 3 - Elastic Energy

Work Energy proof part 3 - Elastic Energy

Work Energy proof part 2 - gravitational potential energy

Work Energy proof part 2 - gravitational potential energy

Work Energy Proof Part 1 - Kinetic Energy

Work Energy Proof Part 1 - Kinetic Energy

Work Energy Summary

Work Energy Summary

Moments and Forces example thin rod pinned at one end

Moments and Forces example thin rod pinned at one end

F=ma for rigid bodies proof

F=ma for rigid bodies proof

Moments and Forces summary

Moments and Forces summary

Moment of Inertia of thin rod

Moment of Inertia of thin rod

Moment of Inertia of disk

Moment of Inertia of disk

Moment of Inertia Summary

Moment of Inertia Summary

Center of Mass summary

Center of Mass summary

Projectile Motion summary

Projectile Motion summary

Polar Coordinates Summary

Polar Coordinates Summary

Circular Motion example 2

Circular Motion example 2

Circular Motion Example 1

Circular Motion Example 1

Circular Motion proof

Circular Motion proof

Circular Motion Summary

Circular Motion Summary

Kinetic friction summary

Kinetic friction summary

Static Friction Summary

Static Friction Summary

Spring example problem

Spring example problem

springs summary

springs summary

Newtons Seconds Law Summary

Newtons Seconds Law Summary

Relative acceleration of rigid links summary

Relative acceleration of rigid links summary

Relative velocity of rigid link summary

Relative velocity of rigid link summary

Relative Acceleration Example 1

Relative Acceleration Example 1

Relative Acceleration Summary

Relative Acceleration Summary

Relative velocity example 1

Relative velocity example 1

Relative Velocity Summary

Relative Velocity Summary

Relative position summary

Relative position summary

Velocity Vector Summary

Velocity Vector Summary

Acceleration Vector Summary

Acceleration Vector Summary

Position Vector Summary

Position Vector Summary

Relative Motion example part 1

Relative Motion example part 1

Truss Example Part 1

Truss Example Part 1

cross product moment example

cross product moment example

Disk rolling down incline problem

Disk rolling down incline problem

projectile with drag part 2

projectile with drag part 2

projectile with drag part 1

projectile with drag part 1

Springs don't include force due to gravity proof

Springs don't include force due to gravity proof

Equivalent Force Couple System example

Equivalent Force Couple System example

Steady State and Transient Mechanical Vibrations summary

Steady State and Transient Mechanical Vibrations summary

Force excitation equation of motion proof

Force excitation equation of motion proof

Damping ratio and natural frequency formulas

Damping ratio and natural frequency formulas

logarithmic decrement proof

logarithmic decrement proof

Underdamped motion formula proof (2/2)

Underdamped motion formula proof (2/2)

Overdamped motion formula proof (2/2)

Overdamped motion formula proof (2/2)

Critically damped motion formula proof (2/2)

Critically damped motion formula proof (2/2)

under damped over damped critically damped vibration proof (part 1)

under damped over damped critically damped vibration proof (part 1)

frequency amplitude period derivation

frequency amplitude period derivation

Relative motion problem

Relative motion problem

Centroid of area

Centroid of area

mechanical energy example problem part 2

mechanical energy example problem part 2

mechanical energy example problem part 1

mechanical energy example problem part 1

method of joints and method of sections animation

method of joints and method of sections animation

Friction intuition animation

Friction intuition animation

Dynamics exam example problem

Dynamics exam example problem

cross product and dot product summary

cross product and dot product summary

challenging friction problem

challenging friction problem

Equivalent force couple systems

Equivalent force couple systems

Curvilinear motion example 2

Curvilinear motion example 2

cuvilinear n t coordinate systems example

cuvilinear n t coordinate systems example

conservation of momentum example problem

conservation of momentum example problem

Force mass acceleration example spring compression

Force mass acceleration example spring compression

Mechanical Energy example spring compression

Mechanical Energy example spring compression

curvilinear motion intuition

curvilinear motion intuition

rectilinear motion example particle decelerating

rectilinear motion example particle decelerating

Rectilinear motion example problem

Rectilinear motion example problem

Projectile motion Example problem 1

Projectile motion Example problem 1

Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 2

Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 2

Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 1

Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 1

Finding angular velocity of a rotating bar using sum of moments - Method 3

Finding angular velocity of a rotating bar using sum of moments - Method 3

Finding angular velocity of a rotating bar using energy methods about center of mass - Method 2

Finding angular velocity of a rotating bar using energy methods about center of mass - Method 2

Finding angular velocity of a rotating bar using energy methods about pin - Method 1

Finding angular velocity of a rotating bar using energy methods about pin - Method 1

Finding angular velocity of a rotating bar

Finding angular velocity of a rotating bar

proof forces parallel to members in simple truss

proof forces parallel to members in simple truss

Kinetic Friction and Static Friction intuition

Kinetic Friction and Static Friction intuition

Channel Intro

Channel Intro

Shear force diagrams and Bending moment diagrams

Shear force diagrams and Bending moment diagrams

Basic statics problem finding reactions of pin supports

Basic statics problem finding reactions of pin supports

velocity of center of wheel under pure role

velocity of center of wheel under pure role

Impulse and momentum derivation

Impulse and momentum derivation