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

In summary, the problem is asking for the x-component of a net force given the slopes and angles of two horizontal forces. The equation 2.6cos(a) + 9.0cos(b) = 5.1 can be used to solve for the net force x-component, but additional information is needed to determine the values of cos(a) and cos(b). The question is also clarified to state that F1 has a y-component of 0 and the xy-plane is horizontal.
  • #1
1MileCrash
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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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  • #2
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:
  • #3
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.
 

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

What is a vector force problem?

A vector force problem is a type of physics problem that involves the analysis of multiple forces acting on an object in different directions, often represented by arrows. Vector force problems require the use of vector addition and trigonometric functions to find the net force and direction of an object.

Why are vector force problems important?

Vector force problems are important because they help us understand and predict the motion of objects in the real world. They are also essential in engineering and design, as they allow us to calculate the necessary forces and angles needed for structures to withstand different forces.

What is the best approach to solving a vector force problem?

The best approach to solving a vector force problem is to first draw a clear and accurate diagram, labeling all the known and unknown forces. Then, use vector addition and trigonometric functions to find the net force and direction. It is also helpful to break the forces into x and y components to simplify the calculations.

What are some common mistakes to avoid when solving vector force problems?

Some common mistakes to avoid when solving vector force problems include not considering all the forces acting on the object, not using the correct units, and making errors in vector addition or trigonometric calculations. It is important to double-check all work and pay attention to the direction and magnitude of forces.

Are there any real-world applications of vector force problems?

Yes, vector force problems have many real-world applications, such as predicting the motion of objects in sports, designing bridges and buildings, and understanding the forces acting on an airplane in flight. They are also used in fields like robotics, mechanics, and fluid dynamics to analyze and design systems and structures.

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