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A large pendulum swings in a museum. At rest, it hangs 9 feet from the nearest wall. It is Floria's job to carefully put the pendulum into motion each morning. She does this so that starting from its neutral position, it then swings away from the wall 4 feet and then goes back through neutral and swings 4 feet toward the wall. It takes six seconds for the pendulum to swing from its farthest point from the wall to its closest point.

A large pendulum swings in a museum. At rest, it hangs 9 feet from the nearest wall. It is Floria's job to carefully put the pendulum into motion each morning. She does this so that starting from its neutral position, it then swings away from the wall 4 feet and then goes back through neutral and swings 4 feet toward the wall. It takes six seconds for the pendulum to swing from its farthest point from the wall to its closest point.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Modeling: Simple Harmonic Motion 9ft A large pendulum swings in a museum. At rest, it hangs 9 feet from the nearest wall. It is Floria's job to carefully put the pendulum into motion each morning. She does this so that starting from its neutral position, it then swings away from the wall 4 feet and then goes back through neutral and swings 4 feet toward the wall. It takes six seconds for the pendulum to swing from its farthest point from the wall to its closest point. 4 ft How far is the pendulum from the wall when it is farthest away? How far is the pendulum from the wall when it is closest? What is the amplitude of the sinusoidal function? How did you determine this? Does it start at a max, min, or middle point? What is the period of the function? How did you determine this? If you are unsure of the answers to some of these questions, it might help to plot your information. What is the equation that models the situation? How far from the wall would the pendulum be after 51 seconds? If Floria set the pendulum into motion in a different direction, going toward the wall first, what would be the change in the equation?
Transcribed Image Text:Modeling: Simple Harmonic Motion 9ft A large pendulum swings in a museum. At rest, it hangs 9 feet from the nearest wall. It is Floria's job to carefully put the pendulum into motion each morning. She does this so that starting from its neutral position, it then swings away from the wall 4 feet and then goes back through neutral and swings 4 feet toward the wall. It takes six seconds for the pendulum to swing from its farthest point from the wall to its closest point. 4 ft How far is the pendulum from the wall when it is farthest away? How far is the pendulum from the wall when it is closest? What is the amplitude of the sinusoidal function? How did you determine this? Does it start at a max, min, or middle point? What is the period of the function? How did you determine this? If you are unsure of the answers to some of these questions, it might help to plot your information. What is the equation that models the situation? How far from the wall would the pendulum be after 51 seconds? If Floria set the pendulum into motion in a different direction, going toward the wall first, what would be the change in the equation?
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