Physics 3-D Force Vector Question

AI Thread Summary
To determine the magnitude of the projected component of F1 along the line of action of F2, first calculate the projections F1x and F1y using the angles provided. The projection of F1 along F2 can be found using the dot product formula (F1·F2)/|F2|. The discussion emphasizes understanding the underlying concepts of vector projections rather than just applying formulas. Clarification is sought on what "F1 along the line of action of F2" means, indicating the need to visualize F2 as an axis with F1 having both parallel and perpendicular components. Mastering these vector operations is crucial for solving the problem effectively.
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Homework Statement

Determine the magnitude of the projected component of F1 along the line of action of F2, if the cables each exert a force of 410 N on the post.

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The attempt at a solution

I know how to figure out F2x, F2y, and F2z, but I have no idea how to find F1y and F1x. Also, what does it mean by "F1 along the line of action of F2" and how would I give a final answer in that format?

Thank you
 
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For F1x and F1y , first calculate the projection on the given line in between x and -y >> G = F1 cos(90-35) then
F1x = G cos(20) and F1y = G cos(90+20) .
For F1 in the direction of F2 just take the dot product... (F1.F2)/ |F2|.

seems right to me, but please check with the angles and all...
Regards.
 
what does it mean by "F1 along the line of action of F2" and how would I give a final answer in that format?
Pretend that F2 is an axis - F1 has a component parallel to F2 and another one perpendicular to it.

Hint: what do dot and cross products do?

Note: debsankar has attempted to all-but do the problem for you - something that is usually unhelpful in the long-term. You should attempt to understand the approach used as well as applying it.
 
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