VectorAnalysis-VigoCountySchoolCorporation.pptVIP

Vector Analysis A Mathematical Approach 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 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 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 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. * V Vy Vx ? Vector Components Soh Cah Toa A B C D E Measure all angles from nearest X axis (-,+) (-,-) (+,-) (+,+) Vx Vy A B C D E ?V ____Cos ____ +/- ____Sin _____ +/- ____Cos ____ +/- ____Sin _____ +/- ____Cos ____ +/- ____Sin _____ +/- ____Cos ____ +/- ____Sin _____ +/- ____Cos ____ +/- ____Sin _____ +/- Ax+Bx+Cx+Dx+Ex Ay+By+Cy+Dy+Ey ?Vx ?Vy ?R VR Resultant Vector Calculation VR= ??Vx2 + ?Vy2]1/2 ?R= tan-1 (?Vy /?Vx)