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A Mathematical Approach
Vector Analysis A Mathematical Approach
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Vector Components V Vy Vx Soh Cah Toa
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(-,+) (+,+) (-,-) (+,-) Measure all angles from nearest X axis A B E C
D
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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.
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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.
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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)
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Vector Analysis Template
Vx Vy A ____Cos ____ +/ ____Sin _____ +/- B ____Cos ____ +/ ____Sin _____ +/- C ____Cos ____ +/ ____Sin _____ +/- D ____Cos ____ +/ ____Sin _____ +/- E ____Cos ____ +/ ____Sin _____ +/- V Ax+Bx+Cx+Dx+Ex Ay+By+Cy+Dy+Ey
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Resultant Vector Calculation
Vx R VR= Vx2 + Vy2]1/2 Vy VR R= tan-1 (Vy /Vx)
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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 m at 43o Nof E.
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