1 / 9

Vector Analysis

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.

libitha
Download Presentation

Vector Analysis

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Vector Analysis A Mathematical Approach

  2. V Vy  Vx Vector Components Soh Cah Toa

  3. Measure all angles from nearest X axis A B (-,+) (+,+) E (-,-) (+,-) C D

  4. 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.

  5. 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.

  6. 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)

  7. 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

  8. Resultant Vector Calculation Vx R • VR= Vx2 + Vy2]1/2 Vy VR • R= tan-1 (Vy/Vx)

  9. 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.

More Related