Phy 121
Your 'cq_1_19.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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The equilibrant of a force is the force which is equal and opposite to that force. If two forces are equal and opposite, their x and y components are also equal, but the x and y components of the force are opposite in sign to those of the equilibrant.
The x and y components of a force are 2 Newtons and 3 Newtons repectively.
• What are the magnitude of this force and what angle does it make as measured counterclockwise from the positive x axis?
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Based on some activities from assignment 18, it seems like the 2N and 3N could be legs on a triangle since we are discussing what angle is created. I didn’t realize that something measuring in an N could count as a leg on a triangle….is this the case???
If these are the legs, then I solved for the hypotenuse by using the Pythagorean theorem. I used c^2= a^2+b^2. This gave me c^2= 2^2+3^2. This is 4 +9= c^2. When we take the square root of 13 it gives us 3.6.
The x and y component are both positive, so we use arctan ( y component / x component)
This gives us 0.982793723 which would be approximately 1. If we took the angle from counterclockwise it would give us 359 degrees. This doesn’t seem right, but I’m not sure what other method there is to solve this.
• What are the components of the equilibrant force?
I think the components of the equilibrant force are the same, but opposite from the last answer. So would it be -2N,-3N, and -3.6 N???
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• What angle does the equilibrant force make as measured counterclockwise from the positive x axis?
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Would the angle of the equilibrant force be -359? I know that it has to be equal but opposite to, but it seems like other steps should be followed besides just putting a negative in front of positive numbers.
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35 min
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You are absolutely on the right track here. You did have an error on your angle. See the link and submit a revision if you aren't completely sure you understand everything; no need if you do understand, as I think you might.
&#Please compare your solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified. &#