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As we discussed earlier in Problem Set 4.2, any object or quantity that is moving with a periodic sinusoidal oscillation is said to exhibit simple harmonic motion. This motion can be modeled by the trigonometric function y A sin (wt) or y A cos (at) where A and o are constants. The frequency, given by f = 1/period represents the number of cycles (or oscillations) that are completed per unit time. The unit used to describe frequency is the Hertz, where 1 Hz = 1 cycle per second A mass attached to a spring is pulled downward and released. The displacement of the mass from its equilibrium position after t seconds is given by the function d = shortest is 13 centimeters, and 29 centimeters when it is longest. If the spring oscillates with a frequency of 0.8 Hertz, find d as a function of t A cos(ot), where d is measured in centimeters (see the figure). The length of the spring when it is Equilibrium position

As we discussed earlier in Problem Set 4.2, any object or quantity that is moving with a periodic sinusoidal oscillation is said to exhibit simple harmonic motion. This motion can be modeled by the trigonometric function y A sin (wt) or y A cos (at) where A and o are constants. The frequency, given by f = 1/period represents the number of cycles (or oscillations) that are completed per unit time. The unit used to describe frequency is the Hertz, where 1 Hz = 1 cycle per second A mass attached to a spring is pulled downward and released. The displacement of the mass from its equilibrium position after t seconds is given by the function d = shortest is 13 centimeters, and 29 centimeters when it is longest. If the spring oscillates with a frequency of 0.8 Hertz, find d as a function of t A cos(ot), where d is measured in centimeters (see the figure). The length of the spring when it is Equilibrium position

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 69E
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As we discussed earlier in Problem Set 4.2, any object or quantity that is moving with a periodic sinusoidal oscillation is said to exhibit simple harmonic motion. This motion can be modeled by the trigonometric function y A sin (wt) or y A cos (at) where A and o are constants. The frequency, given by f = 1/period represents the number of cycles (or oscillations) that are completed per unit time. The unit used to describe frequency is the Hertz, where 1 Hz = 1 cycle per second A mass attached to a spring is pulled downward and released. The displacement of the mass from its equilibrium position after t seconds is given by the function d = shortest is 13 centimeters, and 29 centimeters when it is longest. If the spring oscillates with a frequency of 0.8 Hertz, find d as a function of t A cos(ot), where d is measured in centimeters (see the figure). The length of the spring when it is Equilibrium position
Transcribed Image Text:As we discussed earlier in Problem Set 4.2, any object or quantity that is moving with a periodic sinusoidal oscillation is said to exhibit simple harmonic motion. This motion can be modeled by the trigonometric function y A sin (wt) or y A cos (at) where A and o are constants. The frequency, given by f = 1/period represents the number of cycles (or oscillations) that are completed per unit time. The unit used to describe frequency is the Hertz, where 1 Hz = 1 cycle per second A mass attached to a spring is pulled downward and released. The displacement of the mass from its equilibrium position after t seconds is given by the function d = shortest is 13 centimeters, and 29 centimeters when it is longest. If the spring oscillates with a frequency of 0.8 Hertz, find d as a function of t A cos(ot), where d is measured in centimeters (see the figure). The length of the spring when it is Equilibrium position
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