Vector Products (Cross Product). Torque F r T.

25
Vector Products (Cross Product)

TAGS:

Transcript of Vector Products (Cross Product). Torque F r T.

Page 1: Vector Products (Cross Product). Torque F r T.

Vector Products (Cross Product)

Page 2: Vector Products (Cross Product). Torque F r T.

Torque

F

rT

Page 3: Vector Products (Cross Product). Torque F r T.
Page 4: Vector Products (Cross Product). Torque F r T.
Page 5: Vector Products (Cross Product). Torque F r T.

Vector Products

Page 6: Vector Products (Cross Product). Torque F r T.

Definition of Cross Product

Page 7: Vector Products (Cross Product). Torque F r T.
Page 8: Vector Products (Cross Product). Torque F r T.
Page 9: Vector Products (Cross Product). Torque F r T.

Interpretation of the Cross Product (from autograph)

a

ba x b

Page 10: Vector Products (Cross Product). Torque F r T.

A small proof…

Page 11: Vector Products (Cross Product). Torque F r T.

Small proof continued..

Page 12: Vector Products (Cross Product). Torque F r T.

The vector CROSS product

• Results in a NEW vector!

As seen on the formula booklet

Page 13: Vector Products (Cross Product). Torque F r T.

Some examples

• .

But…..you do not NEED to know the matrix algebra, you just need to know how to use the IB formula.

Page 14: Vector Products (Cross Product). Torque F r T.

You try!

• Use the IB formula this time:

Page 15: Vector Products (Cross Product). Torque F r T.
Page 16: Vector Products (Cross Product). Torque F r T.
Page 17: Vector Products (Cross Product). Torque F r T.

• .

Page 18: Vector Products (Cross Product). Torque F r T.

Applications of the Cross Product

• Constructing Orthogonal Vectors

• Area of a Triangle or a Parallelogram

• Volume of a Parallelepiped

• Moment of Force

• Angular Velocity

• Magnetic and Electric Fields

Page 19: Vector Products (Cross Product). Torque F r T.

Cross Product of Unit Vectors

x

y

z

i

jk

Page 20: Vector Products (Cross Product). Torque F r T.

Properties of the Cross Product

Page 21: Vector Products (Cross Product). Torque F r T.

Cautions

Page 22: Vector Products (Cross Product). Torque F r T.

Coordinate Formula

Page 23: Vector Products (Cross Product). Torque F r T.

Application

Page 24: Vector Products (Cross Product). Torque F r T.

Scalar Triple Product

Page 25: Vector Products (Cross Product). Torque F r T.

Application


Chapter 11 Angular Momentum; General Rotation 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle 11-4 Angular Momentum and.

Chapter 11 Angular Momentum; General Rotation 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle 11-4 Angular Momentum and.

V6/V5-G special inverter for crane application User … vector and torque control... · V6/V5-G special inverter for crane application User ... synchronous torque vector control ...

V6/V5-G special inverter for crane application User … vector and torque control... · V6/V5-G special inverter for crane application User ... synchronous torque vector control ...

Vector Refresher Part 4 Vector Cross Product Definition Vector Cross Product Definition Right Hand Rule Right Hand Rule Cross Product Calculation Cross.

Vector Refresher Part 4 Vector Cross Product Definition Vector Cross Product Definition Right Hand Rule Right Hand Rule Cross Product Calculation Cross.

VFD500 Series AC DRIVE High Performance vector and torque con

VFD500 Series AC DRIVE High Performance vector and torque con

iSHELL Cross Disperser Geneva Drive Torque Calculations

iSHELL Cross Disperser Geneva Drive Torque Calculations

Chapter 11 Angular Momentum; General Rotation. Angular Momentum—Objects Rotating About a Fixed Axis Vector Cross Product; Torque as a Vector Angular Momentum.

Chapter 11 Angular Momentum; General Rotation. Angular Momentum—Objects Rotating About a Fixed Axis Vector Cross Product; Torque as a Vector Angular Momentum.

A COMPARITVE STUDY BETWEEN VECTOR CONTROL AND DIRECT TORQUE

A COMPARITVE STUDY BETWEEN VECTOR CONTROL AND DIRECT TORQUE

Vector Nature of Torque as a Vector Cross Product r x F | = rFsin See: The direction.

Vector Nature of Torque as a Vector Cross Product r x F | = rFsin See: The direction.

Induction Motor Vector and Direct Torque Control Improvement … · 2018-09-25 · Induction Motor Vector and Direct Torque Control Improvement during the Flux Weakening Phase 85

Induction Motor Vector and Direct Torque Control Improvement … · 2018-09-25 · Induction Motor Vector and Direct Torque Control Improvement during the Flux Weakening Phase 85

V5V6-G Vector and Torque Control Frequency Inverter for Crane

V5V6-G Vector and Torque Control Frequency Inverter for Crane

12wziller/math114s14/ch12-4+5.pdfIn physics, the cross product is used to measure .torque Q Consider a force acting on a rigid bodyFr at a point given by a position vector . The torque

12wziller/math114s14/ch12-4+5.pdfIn physics, the cross product is used to measure .torque Q Consider a force acting on a rigid bodyFr at a point given by a position vector . The torque

High Precision &Torque Control LS Vector Inverter STARVERT iV5

High Precision &Torque Control LS Vector Inverter STARVERT iV5

Dynamic Torque Vector AC Drive - VFDs.com · Dynamic Torque Vector AC Drive ... • Confirm that the phases and rated voltage of this product match those of the AC power supply, as

Dynamic Torque Vector AC Drive - VFDs.com · Dynamic Torque Vector AC Drive ... • Confirm that the phases and rated voltage of this product match those of the AC power supply, as

Sensorless Vector Control and Implementation: Why · PDF filesensorless vector control and how to implement it using Renesas ... Direct torque control ... Sensor less Vector Control

Sensorless Vector Control and Implementation: Why · PDF filesensorless vector control and how to implement it using Renesas ... Direct torque control ... Sensor less Vector Control

Vector Summation and Composition Kinetic vector quantities –force weight, pressure, specific weight & torque Kinematic vector quantities –Displacement,

Vector Summation and Composition Kinetic vector quantities –force weight, pressure, specific weight & torque Kinematic vector quantities –Displacement,

iSHELL Cross Disperser Geneva Drive Torque Calculationsirtfweb.ifa.hawaii.edu/...design_review/DN/XDM_drive_calculations.pdf · iSHELL Cross Disperser Geneva Drive Torque Calculations

iSHELL Cross Disperser Geneva Drive Torque Calculationsirtfweb.ifa.hawaii.edu/...design_review/DN/XDM_drive_calculations.pdf · iSHELL Cross Disperser Geneva Drive Torque Calculations

Vector- or Cross-product Torque Angular momentum Angular momentum is conserved!!

Vector- or Cross-product Torque Angular momentum Angular momentum is conserved!!

Chapter 10: Dynamics of Rotational Motion - tamuk.eduusers.tamuk.edu/karna/physics/UPICh10.pdf · 3/26/2015 4 Torque as a vector • Torque can be expressed as a vector using the

Chapter 10: Dynamics of Rotational Motion - tamuk.eduusers.tamuk.edu/karna/physics/UPICh10.pdf · 3/26/2015 4 Torque as a vector • Torque can be expressed as a vector using the

Cross (Vector) Product Review: 1D Calculus Derivatives

Cross (Vector) Product Review: 1D Calculus Derivatives

Torque and the vector product Thus far: Torque Torque is the vector product between the force vector F and vector r is perpendicular to r and p has.

Torque and the vector product Thus far: Torque Torque is the vector product between the force vector F and vector r is perpendicular to r and p has.