used to discuss multivariable calculus, electrical circuits with oscillating cur

Question

used to discuss multivariable calculus, electrical circuits with oscillating currents, stress and strain in structures and materials, and flows of atmospheres and fluids, and they have many other applications. Resolving a vector into components is a precursor to computing things with or about a vector quantity. Because position, velocity, acceleration, force, momentum, and angular momentum are all vector quantities, resolving vectors into components is the most important skill required in a mechanics course. The figure (Figure 1) shows the components of F rightarrow , Fx and Fv, along the x and y axes of the coordinate system, respectively. The components of a vector depend on the coordinate system's orientation, the key being the angle between the vector and the coordinate axes, often designated theta . The figure (Figure 1) shows the standard way of measuring the angle. theta is measured to the vector from the x axis, and counterclockwise positive. Express Fx and Fy in terms of the length of the vector F and the angle theta , with the components separated by a comma. This question will be shown after you complete previous question(s).

Explanation / Answer

Fx = F cos (theta) Fy = F sin(theta) F = F cos (theta) +F sin(theta) = Fx +Fy

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