Perpendicular 81758

Distribute the force of magnitude F = 100 N into two perpendicular components with magnitudes F1 and F2 so that the angle between forces F1 and F is 43°52'.

Correct answer:

F1 =  72.0954 N
F2 =  69.2983 N

Step-by-step explanation:

F=100 N α=43°52=43°+6052°=43.8667°43.8667  cos α = F1:F F1=F cosα=F cos43.866666666667° =100 cos43.866666666667° =100 0.720954=72.095=72.0954 N
sinα = F2:F  F2=F sinα=F sin43.866666666667° =100 sin43.866666666667° =100 0.692983=69.298=69.2983 N

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