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4. A mass on the end of a string is held at its maximal (positive) displacement and is released. Once released the pendulum follows simple harmonic motion. The model for the displacement of the mass from its equilibrium position is given by f(t) = 5 cos(4t) where f (t) is the displacement in centimeters at t seconds. Determine each of the following quantities. a. Amplitude: Period: Phase Shift: Frequency: b. Sketch one period the functionf(t). с. At what times does the mass pass through its maximal displacement in the positive direction? Write an equation that can be used to solve this question, then solve it to provide all times that fit the stated criteria.

4. A mass on the end of a string is held at its maximal (positive) displacement and is released. Once released the pendulum follows simple harmonic motion. The model for the displacement of the mass from its equilibrium position is given by f(t) = 5 cos(4t) where f (t) is the displacement in centimeters at t seconds. Determine each of the following quantities. a. Amplitude: Period: Phase Shift: Frequency: b. Sketch one period the functionf(t). с. At what times does the mass pass through its maximal displacement in the positive direction? Write an equation that can be used to solve this question, then solve it to provide all times that fit the stated criteria.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. A mass on the end of a string is held at its maximal (positive) displacement and is released. Once released the pendulum follows simple harmonic motion. The model for the displacement of the mass from its equilibrium position is given by f(t) = 5 cos(4t) where f(t) is the displacement in centimeters at t seconds. Determine each of the following quantities. а. Amplitude: Period: Phase Shift: Frequency: b. Sketch one period the function f (t). с. At what times does the mass pass through its maximal displacement in the positive direction? Write an equation that can be used to solve this question, then solve it to provide all times that fit the stated criteria.
Transcribed Image Text:4. A mass on the end of a string is held at its maximal (positive) displacement and is released. Once released the pendulum follows simple harmonic motion. The model for the displacement of the mass from its equilibrium position is given by f(t) = 5 cos(4t) where f(t) is the displacement in centimeters at t seconds. Determine each of the following quantities. а. Amplitude: Period: Phase Shift: Frequency: b. Sketch one period the function f (t). с. At what times does the mass pass through its maximal displacement in the positive direction? Write an equation that can be used to solve this question, then solve it to provide all times that fit the stated criteria.
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