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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?
The magnitude of this force is 3.6 N because 2^2+3^2=13 and ‘sqrt(13) = 3.6. The angle as measured counter clockwise from the positive axis is 56.3 degrees because tan^-1(3/2).
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• What are the components of the equilibrant force?
The equilibrant x force is -2 Newtons and the equilibrant y force is -3 Newtons.
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• What angle does the equilibrant force make as measured counterclockwise from the positive x axis?
The angle that is produced by these forces counterclockwise from the positive x axis is 56.3 degrees because tan-1(-3/-2)=56.3.
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15 minutes
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The rule is that the angle is equal to the arctangent, plus 180 degrees if the x component is negative.
A 56 degree angle measured counterclockwise from the positive x axis is in the first quadrant, whereas the equilibrant is in the third.
The resolution: Since the x component of the equilibrant is negative, the angle is 56 degree + 180 degrees = 236 degrees, which is indeed in the third quadrant opposite the original vector.
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