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Vector Decomposition and Analysis in Engineering: MATLAB and AutoCAD

Learn how to decompose vectors Fx, Fy, Fu, and Fv using AutoCAD and MATLAB. Re-create the file in AutoCAD and apply the Law of Sines in MATLAB to analyze and evaluate vector components. Test Pythagorean Theorem on Fx, Fy, Fu, and Fv to determine the basis orthogonality. Enhance your engineering skills and knowledge with practical exercises.

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Vector Decomposition and Analysis in Engineering: MATLAB and AutoCAD

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  1. Engineering 36 Problem 4.5.32Vector DeComp Bruce Mayer, PE Licensed Electrical & Mechanical EngineerBMayer@ChabotCollege.edu

  2. Problem 4.5.32 • Find • Fx • Fy • Fu • Fv • By • AutoCAD • MATLAB

  3. Problem 4.5.32  AutoCAD • ReCreate File P4_5_32_FULL_scale_1009.dwg

  4. Problem 4.5.32  MATLAB • By Law of Sines • Using MATLAB >> Fu = sind(40)*500/sind(119) Fu = 367.4669 >> Fv = sind(21)*500/sind(119) Fv = 204.8707

  5. Pythagorus Yea or Nay? • Test Pythagorean Theorem on Both Sets Fu = sind(40)*500/sind(119) Fv = sind(21)*500/sind(119) Fx = 500*cosd(38) Fy = 500*sind(38) MagFxy = sqrt(Fx^2+Fy^2) MagFuv = sqrt(Fu^2+Fv^2) Fu = 367.4669 Fv = 204.8707 Fx = 394.0054 Fy = 307.8307 MagFxy = 500 MagFuv = 420.7184 • Since the uv Basis is NOT OrthoGonal, then Pythagorus does NOT hold

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