BMayer@ChabotCollege.edu • ENGR-36_Prob_4_5_32_ACAD_Solution.ppt1

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Bruce Mayer, PELicensed Electrical & Mechanical Engineer

BMayer@ChabotCollege.edu

Engineering 36

Problem Problem 4.5.324.5.32Vector Vector

DeCompDeComp

BMayer@ChabotCollege.edu • ENGR-36_Prob_4_5_32_ACAD_Solution.ppt2

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Problem 4.5.32Problem 4.5.32 Find

• Fx• Fy• Fu• Fv

By• AutoCAD• MATLAB

BMayer@ChabotCollege.edu • ENGR-36_Prob_4_5_32_ACAD_Solution.ppt3

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Problem 4.5.32 Problem 4.5.32 AutoCAD AutoCAD ReCreate File P4_5_32_FULL_scale_1009.dwg

x

u

vy

500N

367.47

204.87

394.01

307.83

Fv

Fu

Law of Sines Calc

x

u

vy

500N

BMayer@ChabotCollege.edu • ENGR-36_Prob_4_5_32_ACAD_Solution.ppt4

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Problem 4.5.32 Problem 4.5.32 MATLAB MATLAB By Law of Sines

Fv

Fu

Law of Sines Calc

Using MATLAB

119sin21sinN500

119sin04sinN500

21sin04sin119sinN500

vu

vu

FFor

FF

>> Fu = sind(40)*500/sind(119)Fu = 367.4669>> Fv = sind(21)*500/sind(119)Fv = 204.8707

BMayer@ChabotCollege.edu • ENGR-36_Prob_4_5_32_ACAD_Solution.ppt5

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Pythagorus Pythagorus Yea or Nay? Yea or Nay? Test Pythagorean Theorem on Both SetsFu = 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 = 367.4669Fv = 204.8707Fx = 394.0054Fy = 307.8307MagFxy = 500MagFuv = 420.7184

Since the uv Basis is NOT OrthoGonal, then Pythagorus does NOT hold