What is the Magnitude of Betty's Force for Equilibrium?

In summary, the question asks for the magnitude of Betty's force FB in two different scenarios, one where Charles pulls in the direction shown in the picture and one where he pulls in another possible direction for equilibrium. The equation ΣF=0 is used to solve for FB in both cases, with the second scenario requiring the use of the horizontal component of C being opposite to the horizontal component of A.
  • #1
J-dizzal
394
6

Homework Statement


FC of magnitude 188 N. Note that the direction of FC is not given. What is the magnitude of Betty's force FB if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium

Homework Equations


ΣF=0[/B]

The Attempt at a Solution


20150623_181903_zpsqwl2uqe2.jpg

Im having trouble with part b) of the question. I don't know what other possiblities there are.
 
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  • #2
I can't see any of your images. Are they embedded or linked?
 
  • #3
phinds said:
I can't see any of your images. Are they embedded or linked?

updated
 
  • #4
B has no horizontal component so you need to find at which angle (other than the one you originally found) the horizontal component of C is exactly opposite to the horizontal component of A. Such an angle is guaranteed to exist (think of the graph of cosine).
 
  • #5
americanforest said:
B has no horizontal component so you need to find at which angle (other than the one you originally found) the horizontal component of C is exactly opposite to the horizontal component of A. Such an angle is guaranteed to exist (think of the graph of cosine).
oh its so obvious now thanks
 

Related to What is the Magnitude of Betty's Force for Equilibrium?

What is vector addition in a picture?

Vector addition in a picture is a visual representation of adding two or more vectors together. It shows the direction and magnitude of the resulting vector.

How do you add vectors in a picture?

To add vectors in a picture, you must first draw the vectors in their correct direction and magnitude. Then, place the tail of the second vector at the head of the first vector. The resulting vector is drawn from the tail of the first vector to the head of the second vector.

Can vectors be subtracted in a picture?

Yes, vectors can be subtracted in a picture. To subtract a vector, you must first draw the vectors in their correct direction and magnitude. Then, place the tail of the second vector at the head of the first vector. The resulting vector is drawn from the head of the first vector to the tail of the second vector.

What is the commutative property of vector addition?

The commutative property of vector addition states that the order in which vectors are added does not affect the result. This means that adding vector A to vector B will give the same result as adding vector B to vector A.

What is the associative property of vector addition?

The associative property of vector addition states that the grouping of vectors being added does not affect the result. This means that adding vector A to the sum of vector B and vector C will give the same result as adding vector B to the sum of vector A and vector C.

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