Phy 231
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 respectively.
• What are the magnitude of this force and what angle does it make as measured counterclockwise from the positive x axis?
Magnitude = sqrt(2^2 + 3^2) = sqrt(4+9) = 3.61 Newtons
Angle = arctan(3N/2N) = 56.3 degrees
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• What are the components of the equilibrant force?
X component = -2 Newtons
Y component = -3 Newtons
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• What angle does the equilibrant force make as measured counterclockwise from the positive x axis?
Angle = 180 degrees + arctan(-3/-2) = 180 + 56.31 = 236 degrees
(The force will be going in the opposite direction—the third quadrant as opposed to the first)
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20 minutes
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Very good responses. Let me know if you have questions.