A tetherball weighing 1 pound is pulled outward from the pole by a horizontal force u

Chapter 7, Problem 104

(choose chapter or problem)

A tetherball weighing 1 pound is pulled outward from the pole by a horizontal force u until the rope makes an angle of \(\theta\) degrees with the pole. (See figure.)

(a) Write the tension T in the rope and the magnitude of u as functions of \(\theta\). Determine the domain of each function.

(b) Use a graphing utility to graph the two functions for \(0^{\circ}\ \leq\ \theta\ \leq\ 60^{\circ}\).

(c) Compare T and || u || as \(\theta\) increases..

Text Transcription:

theta

0 degrees leq theta leq 60 degrees

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