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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 the equilibrant of a force are 2 Newtons and 3 Newtons repectively.
• What angle does the force make as measured counterclockwise from the positive x axis?
Tan theta = 3N/2N
Theta = 56.03 degrees
56 degrees is the angle of the equilibrant force.
The force is opposite the equilibrant, at angle 56 deg + 180 deg = 236 deg.
answer/question/discussion:
• What are the components of the force?
c^2 = a^2 + b^2
c^2 = 2^2 + 3^2
c^2 = 4 + 9
c^2 = 13
c = 3,6
answer/question/discussion:
The force would have magnitude 3.6 N, and this question might well have been asked.
However the question asked for the components of the force.
The force is equal and opposite to its equilibriant, so its components are equal and opposite to those of the equilibriant.
The components of the equilbrant are 2 N (x component) and 3 N (y component).
The components of the force are therefore -2 N (x component) and -3 N (y component).
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5 minutes
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You'll understand my notes, so no need to submit a revision. But be sure you understand. Let me know if not.