Vector Force Problem: Understanding Horizontal Forces and Solving for Net Force

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SUMMARY

The discussion centers on the Vector Force Problem, specifically addressing the concept of horizontal forces and their components. Participants clarify that "horizontal forces" refer to forces acting in the xy-plane, with one force (F1) having a y-component of 0. The net force's x-component is calculated to be 5.1, derived from the equation 2.6cos(a) + 9.0cos(b) = 5.1. The confusion arises from the interpretation of angles and components, which is resolved through collaborative clarification.

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  • Understanding of vector components in physics
  • Familiarity with trigonometric functions, specifically cosine
  • Knowledge of Newton's laws of motion
  • Ability to interpret graphical representations of forces
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The problem is attached.

I am supremely stumped. First and foremost, what the heck does "horizontal forces" mean? If they are both horizontal, how is the angle between them anything but 0/180??

Regardless..

The graph has a slope of 3, therefore acceleration's x component is 3. Therefore net force x-component is 5.1

Therefore,

2.6cos(a) + 9.0cos(b) = 5.1

But so what? That's all the information that the problem gives me. Granted I know that cos(a) has to be between 1 and 0 for it to be in the positive direction...

Any hints? I really have no idea!
 

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Problem is attached.

EDIT:

Am I reading this correctly? By F1 is in the direction of the +x axis, do they mean that as in it has no component along y? Or just that it's x component is positive?

Arrg, this is a terribly worded question. I really want to know what two "horizontal forces" are!

Solved, yes, they did just mean that F1 had a y component of 0. What a headache.
 
Last edited:
1MileCrash said:
Problem is attached.

EDIT:

Am I reading this correctly? By F1 is in the direction of the +x axis, do they mean that as in it has no component along y? Or just that it's x component is positive?

Arrg, this is a terribly worded question. I really want to know what two "horizontal forces" are!

Solved, yes, they did just mean that F1 had a y component of 0. What a headache.
attachment.php?attachmentid=43714&d=1328829512.jpg


It seems clearly worded to me. Yes, it does take some thought to get some of the details straight, but I don't consider it ambiguous at all.

As for your earlier question about horizontal forces, it's clearly worded that the xy-plane is horizontal. That gives two dimensions.
 

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