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Magnitude and Angle of the Resultant Force :: Cartesian Components of Vectors
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In this video we look at how to find the magnitude and angle of the resultant force.
The resultant force is the imaginary force produced by the sum of two forces acting on an object.
The resultant force mathematically is just the sum of the forces acting on an object.
Given two forces, we must first find them in component form then add them together. We first multiply unit vectors by the respective magnitudes.
A unit vector in the direction of angle A is u = cos(A) i + sin(A) j since the magnitude is just cos^2(A)+sin^2(A) = 1 for any angle A.
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I'm Jonathan, and I love teaching math! Vectors are the beginning of getting into the real world aspect of three dimensions. The rest of calculus is built on these concepts.
The resultant force is the imaginary force produced by the sum of two forces acting on an object.
The resultant force mathematically is just the sum of the forces acting on an object.
Given two forces, we must first find them in component form then add them together. We first multiply unit vectors by the respective magnitudes.
A unit vector in the direction of angle A is u = cos(A) i + sin(A) j since the magnitude is just cos^2(A)+sin^2(A) = 1 for any angle A.
--------------------
I'm Jonathan, and I love teaching math! Vectors are the beginning of getting into the real world aspect of three dimensions. The rest of calculus is built on these concepts.
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