e Mornin\'s Gonna Cori y HW2T 9 Three Forces 5hown Act New Tab × X -e secure l h

Question

e Mornin's Gonna Cori y HW2T 9 Three Forces 5hown Act New Tab × X -e secure l https://www.webassign.netweb/Student/Assignment it?dep-19369525 2. 112.5 points NorEngStatics1 2.P.018. My Notes Ask Your Teach Force F-687 lb acts at point O. The direction angle between force F and the x-axis is = 120°. The direction angle between force F and the y-axis is = 120° Determine the direction angle in degrees between the force and the z-axis. Express the force as a Cartesian vector in pounds lb O Type here to search 8:37 PM 9/19/2018 21

Explanation / Answer

F=687 lb

A=angle with x axis; B=angle with y axis; C=angle with Z axis

Fx=F×cosA=687×cos(120)=-343.5 lb

Fy=F×cosB=687×cos(120)=-343.5 lb

Fz=F×cosC

F2=Fx2+Fy2+Fz2

6872=(-343.5)2+(343.5)2+(F×cosC)2

cosC=0.707

C=45°

Fz=687×cos 45 = 485.78 lb

cartesian vector is = -343.5 i - 343.5 j + 485.78 k

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