Optimization A force of 56 pounds acts on the pipe wrench shown in the figure. (a) Find

Chapter 11, Problem 32

(choose chapter or problem)

A force of 56 pounds acts on the pipe wrench shown in the figure.

(a) Find the magnitude of the moment about O by evaluating \(\|\overrightarrow{O A} \times \mathbf{F}\|\). Use a graphing utility to graph the resulting function of \(\theta\).

(b) Use the result of part (a) to determine the magnitude of the moment when \(\theta=45^{\circ}\).

(c) Use the result of part (a) to determine the angle \(\theta\) when the magnitude of the moment is maximum. Is the answer what you expected? Why or why not?

Text Transcription:

|| overrightarrow O A times F ||

theta

theta=45^circ

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