Consider two forces F1 = 10, 0 and F2 = 5cos , sin . (a) Write F1 + F2 as a function of
Chapter 7, Problem 112(choose chapter or problem)
Consider two forces
\(F_1=\langle10, 0 \rangle\) and \(F_2=5\langle cos\ \theta,\ \sin\ \theta \rangle\)
(a) Write \(||F_1+F_2||\) as a function of \(\theta\).
(b) Use a graphing utility to graph the function for \(0\ \leq\ \theta\ <\ 2\pi\).
(c) Use the graph in part (b) to determine the range of the function. What is its maximum, and for what value of \(\theta\) does it occur? What is its minimum, and for what value of \(\theta\) does it occur?
(d) Explain why the magnitude of the resultant is never 0.
Text Transcription:
F_1 = langle 10, 0 rangle
F_2 = 5 langle cos theta, sin theta rangle
theta
0 leq theta leq 2pi
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