Solving My First Vector Problem: Answers & Explanation

In summary: That sounds about right. In summary, this student is struggling with homework because they are using x's and y's to mean different things on each diagram, and they are also missing something obvious.
  • #1
torrobinson
6
0
I JUST started adding vectors.. as in.. last class. I got a ton of questions, and have done three of them. The answers are given, but I got them wrong. I'll follow the little template already given:

Homework Statement


What is the net force on a stack of books which are applied two forces: 2.0 N 61 degrees N of W and 59 degrees N of E?

The answer is 75.0 N, 73 degrees (N of E)

Homework Equations


??


The Attempt at a Solution



http://img245.imageshack.us/img245/5965/vectorsao5.jpg

Thanks in advance!
 
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  • #2
Have you heard of the parallelogram rule yet?
 
  • #3
Bradracer18 said:
Have you heard of the parallelogram rule yet?

Who in the what? :S

I've never heard of that...

My teacher just did one example on the board, we copied it down as fast as we could, and now I'm trying to do what I think she did...which is what I attempted.

LOL I'm assuming I'm missing something obvious that I've never heard of before.

Thanks

edit: BTW, I'm in Grade 11 and have barley learned anything above the basics.
 
  • #4
Maybe that is for the resultant.

Anyways, you can just put them head to tail(like I think you did)...and then solve them similar to how your find the hypotenuse on a right triangle.
 
  • #5
Bradracer18 said:
Maybe that is for the resultant.

Anyways, you can just put them head to tail(like I think you did)...and then solve them similar to how your find the hypotenuse on a right triangle.

Thanks for the response, but I'm not quite sure what you mean... can you see what I did wrong?
 
  • #6
Well, firstly, you're using x's and y's to mean different things on each diagram! Pick a coordinate system (the most conventional is that x components are horizontal, and y components are vertical) and stick to it!

Now, the horizontal components are in opposite directions, so the resultant will be V2x-V1x.

You seem to be close, so try again, this time sticking to a convention, and see how you do.
 
  • #7
cristo said:
Well, firstly, you're using x's and y's to mean different things on each diagram! Pick a coordinate system (the most conventional is that x components are horizontal, and y components are vertical) and stick to it!

:O

Holy moly... I haven't made that idiotic mistake since grade 8! And the first time I post a question like this on a forum, It's my lucky day and I do it for the first time in 3 years!

Yes, thanks for pointing that out. I was able to get it.

There's another 2 questions that have nothing to do with mixing up the x/y axis (lol), so they are still problems (I was hoping there was a solution to why all 3 were incorrect)

Thanks

Before posting any more problems, I'll go back and retry the other two to check for more embarrassing mistakes...

This is comparable to last semester when I was frustrated with a single problem involving intersections of circles and lines in Math... only to have somebody point out that I had "1 x 1 = 2". LOL
 
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FAQ: Solving My First Vector Problem: Answers & Explanation

What are vectors and how are they used in problem solving?

Vectors are mathematical quantities that have both magnitude and direction. They are commonly represented using arrows, with the length of the arrow indicating the magnitude and the direction of the arrow indicating the direction. Vectors are useful in problem solving because they can represent physical quantities such as velocity, force, and displacement, and can be manipulated using mathematical operations to solve problems.

How do I solve my first vector problem?

The first step in solving a vector problem is to draw a diagram with all the given information, including the direction and magnitude of the vectors. Then, use the properties of vectors, such as the commutative and distributive properties, to manipulate the vectors and find the desired solution. It is also important to pay attention to the units of the vectors and make sure they are consistent throughout the problem.

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

One common mistake is not paying attention to the direction of the vectors. It is important to use the correct direction when adding or subtracting vectors. Another mistake is forgetting to convert units, which can lead to incorrect solutions. It is also important to draw accurate diagrams and use the correct mathematical operations when solving vector problems.

How can I check if my solution to a vector problem is correct?

You can check your solution by using the properties of vectors, such as the triangle law and the parallelogram law. These properties state that the sum of two or more vectors can be found by drawing a triangle or a parallelogram. If your solution satisfies these properties, then it is likely correct. You can also use common sense and make sure that your solution makes sense in the context of the problem.

How can I improve my skills in solving vector problems?

The best way to improve your skills in solving vector problems is to practice. Look for different types of vector problems and try to solve them using different methods. You can also seek help from teachers, tutors, or online resources for additional guidance and practice. It is also helpful to review and understand the properties of vectors, as well as common mistakes to avoid, to become more proficient in solving vector problems.

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