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PHY 201
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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SEED Question 19.1
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 magnitudes of this force and what angle does it make as measured counterclockwise from the positive x axis?
c^2 = 2^2 + 3^2
c^2 = 4 + 9
c^2 = 13
c = sqrt (13)
c = 3.6 or approx 4
The x component of this vector is vector along the x axis, from the origin to Fx = 2 cos(theta).
The y component is a vector along the y axis, from the origin to Fy = 3 sin(theta).
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• What are the components of the equilibrant force?
The component of the equilibrant force = (3,2), (0,3).
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• What angle does the equilibrant force make as measured counterclockwise from the positive x axis?
arctan (3 / 2) = arctan (1.5) = 56.3 deg
The angle of a vector as measured counterclockwise from the positive x axis is easily determined if the components of the vector are known. The angle is simply arctan( y component / x component ) provided the x component is positive.
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20 min
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SEED Question 19.1 submitted 10 Mar 11 around 11:56 AM.
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