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Vector Analysis - PowerPoint PPT Presentation


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Vector Analysis. A Mathematical Approach. V. V y. . V x. Vector Components. Soh Cah Toa. Measure all angles from nearest X axis. A. B. (-,+). (+,+). E. (-,-). (+,-). C. D. Vector Analysis. Make a rough sketch of all vectors from a common origin.

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vector analysis

Vector Analysis

A Mathematical Approach

slide2

V

Vy

Vx

Vector Components

Soh Cah Toa

vector analysis1
Vector Analysis
  • Make a rough sketch of all vectors from a common origin.
  • Measure (convert) all angles from the nearest x-axis.
  • Calculate all x components using the equation Vx= V Cos 
  • Apply +/- to each x component using quadrant notation.
  • Sum up all x components.
vector analysis2
Vector Analysis
  • Measure (determine) all angles from the nearest x-axis.
  • Calculate all y components using the equation Vy = V sin  .
  • Apply +/- to each y component using quadrant notation.
  • Sum up all y components.
vector analysis3
Vector Analysis
  • Calculate the resultant vector using the Pythagorean Theorem. VR= Vx2 + Vy2]1/2
  • Calculate the resultant angle using the tangent function R= tan-1(Vy/Vx)
vector analysis template
Vector Analysis Template

Vx

Vy

A

____Cos ____ +/- ____Sin _____ +/-

B

____Cos ____ +/- ____Sin _____ +/-

C

____Cos ____ +/- ____Sin _____ +/-

D

____Cos ____ +/- ____Sin _____ +/-

E

____Cos ____ +/- ____Sin _____ +/-

Ax+Bx+Cx+Dx+Ex Ay+By+Cy+Dy+Ey

V

slide8

Resultant Vector Calculation

Vx

R

  • VR= Vx2 + Vy2]1/2

Vy

VR

  • R= tan-1 (Vy/Vx)
vector analysis conclusion
Vector Analysis Conclusion
  • Do a rough sketch from a common axis.
  • Be sure calculator is set in deg. mode.
  • Be sure to use degrees from nearest x-axis.
  • Be sure to check +/- designations before summation step.
  • Report your answer using proper notation eg. 250 m at 43o Nof E.