Resolving forces and finding from the resultant

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SUMMARY

The discussion focuses on resolving forces acting on a ring bolt, specifically determining the magnitudes of forces F1 and F2 given a resultant force R of 180 N at an angle of 80° from the x-axis. The equations used include the sum of forces in the x-direction (ƩFx) and y-direction (ƩFy). The participants derive two equations from these force components: ƩFx = F2*cos(40) - F1*cos(60) = 180*cos(80) and ƩFy = F1*sin(60) + 40 + F2*sin(40) = 180*sin(80). The solution involves eliminating one variable to solve for the unknowns.

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Homework Statement



Three forces: F1, F2 and the other with a magnitude of 40 N act on the ring bolt as shown in Fig. C.1. The resultant, R, has a magnitude of R = 180 N and acts at an angle of 80° anti-clockwise from the x-axis. Determine the magnitudes of F1 and F2.


Homework Equations



ƩFx
ƩFy

The Attempt at a Solution




ƩFx=F2*cos(40)-F1cos(60)=180*cos(80)
ƩFy=F1*sin(40)+40+F2*sin(40)=18-*sin(80)

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hi mm391! :smile:
mm391 said:
ƩFx=F2*cos(40)-F1cos(60)=180*cos(80)
ƩFy=F1*sin(60)+40+F2*sin(40)=180*sin(80)

two equations, two unknowns …

eliminate one unknown and solve :wink:
 

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