Forces with magnitudes of 150 newtons and 220 newtons act on a hook, as shown in the

Chapter 7, Problem 103

(choose chapter or problem)

Forces with magnitudes of 150 newtons and 220 newtons act on a hook, as shown in the figure.

(a) Find the direction and magnitude of the resultant of the forces when \(\theta=30^{\circ}\).

(b) Write the magnitude M of the resultant and the direction \(\alpha\) of the resultant as functions of \(\theta\), where \(0^{\circ}\ \leq\ \theta\ \leq\ 180^{\circ}\).

(c) Use a graphing utility to complete the table.

(d) Use the graphing utility to graph the two functions.

(e) Explain why one function decreases for increasing \(\theta\), whereas the other does not.

Text Transcription:

theta = 30 degrees

alpha

theta

0 degrees leq theta leq 180 degrees

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