(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two force vectors are shown in the figure (not drawn to scale), and the total force vector C is the sum of A and B:C=A+B. If the magnitude of the total force is C = 80 N and its direction is specified by the angle measured from +x axis to be θC = −110˚, find B and φ for the force vector B.

2. Relevant equations

C_{x}= A_{x}+ B_{x}

C_{y}= A_{y}+ B_{y}

C= sqrt(C_{x}^2+C_{y}^2)?

tanθ_{c}=C_{y}/C_{x}?

3. The attempt at a solution

A_{x}=-150cos30=-130

A_{y}=150sin30=75

C_{x}=80sin(-110)=-75.2

C_{y}=80cos(-110)=27.4

C_{x}= A_{x}+ B_{x}

-75.2= -130 + B > B= 54.8

27.4= 75 + B > B=-47.6

Not sure if I'm doing this right.

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# Homework Help: Vector Addition/Components

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