Can Somebody Explain These Steps for Me(answer given, dont get steps in between)

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The discussion focuses on solving a physics problem involving vector forces, specifically problems 2.45 and 2.55 from a homework assignment. The key conclusion is that the vector sum of the forces must equal zero, which requires that both the horizontal (Fx) and vertical (Fy) components of the forces are individually zero. To solve for the unknowns, one must split the forces F1, F2, and F3 into their respective horizontal and vertical components and set up two equations based on the sum of these components.

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2.45 and 2.55 i don't get the steps, on how they get to the final answers, can someone explain please.

http://ea2.mccormick.northwestern.edu/homework/hw1-sol.pdf
 
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2.45 The vector sum of the forces is zero. This means that every component of the sum of force vectors is zero, i.e: sum of Fx = 0 and sum of Fy = 0.

Split F1,F2 and F3 into their horizontal and vertical components.

Sum of Fx is the sum of all horizontal components of the forces.
Sum of Fy is the sum of all vertical components of the forces.

Both of these should be zero.

You have two equations and two unknowns. Solve for these unknowns.
 

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