The figure (Figure 1) shows the components of F, Fx , and Fy along the x and y a

Question

The figure (Figure 1) shows the components of F, Fx , and Fy 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 theata.

Part A The figure (Figure 1) shows the standard way of measuring the angle. Theata is measured to the vector from the x axis, and counterclockwise is positive.

Express Fx and Fy in terms of the length of the vector F and the angle theata , with the components separated by a comma.

Explanation / Answer

Fx = F cos

Fy = F sin

F = Fcos , Fsin

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