Consider three force vectors ~F1, ~ F2, and ~ F3. The vector ~ F1 has magnitude

Question

Consider three force vectors ~F1, ~ F2, and ~ F3.

The vector ~ F1 has magnitude F1 = 58 N and

direction 1= 35 ?; the vector ~ F2 has magni-

tude F2 = 28 N and direction 2= 160 ?;

and the vector~ F3has magnitude F3 = 28 N

and direction 3= 160?. All the direction an-

gles are measured from thepositive x axis:

counter-clockwise for > 0 andclockwise for

< 0.

What is the magnitudeF of the netforce

vector ~F = ~ F1 + ~ F2 + ~F3?Answer in units of

What is thedirection of the net force vector

~F

? State youranswer as an angle between

180?and +180?. Answer in unitsof

Explanation / Answer

resolve each vector into components after that addingcomponents and finding out their resultant will give the net forcevector.                                             Xcomponent                         Y component 58N 35degree                    58cos35                                  58sin35 28N -160degree                -28cos160                                -28sin160 28N 160degree                  28cos160                                  28sin160 using calculator find outFx                        and   Fy net force =[[Fx]2+[Fy]2]1/2 direction tan=Fy/Fx direction tan=Fy/Fx

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