PHY 201
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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 is 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: sqrt(2 N^2 + 3 N^2) = 3.6 N. The angle is: tan-1 = (3 N / 2 N) = 56.3 degrees.
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• What are the components of the equilibrant force?
The equilibrant force is the opposite and negative of the magnitude: -3.6 N. The x and y components are: -2 N and 3 N.
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• What angle does the equilibrant force make as measured counterclockwise from the positive x axis?
The angle of the equilibrant force is: -56.3 degrees.
the equilibrant is equal and opposite the given force
-56.3 deg is not opposite 56.3 deg; the latter is in the first quadrant and the former in the fourth
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30 Minutes
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