Question: Consider two forces F1 = {10, 0} and F2 = 5{cos , sin }. (a) Find F1 + F2 as a function of .

Consider two forces F1 = {10, 0} and F2 = 5{cos θ , sin θ}.
(a) Find ∥F1 + F2∥ as a function of θ.
(b) Use a graphing utility to graph the function in part (a) for 0 ≤ θ < 2π.
(c) Use the graph in part (b) to determine the range of the function. What is its maximum, and for what value of θ does it occur? What is its minimum, and for what value of θ does it occur?
(d) Explain why the magnitude of the resultant is never 0.

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