Suppose a mass-spring system exhibits damped harmonic motion, modeled by the function f (t) = –6e¬0.2t cos (rt). Here, tis measured in seconds, and the function is the displacement from equilibrium, measured in inches. Blank 1: What is the frequency of the motion? Blank 2: What is the period of the motion? Blank 3: After 25 seconds, how many oscillations will have been completed? Blank 4: Briefly explain the difference between simple harmonic motion and damped harmonic motion.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
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Suppose a mass-spring system exhibits damped harmonic motion, modeled by the
-0.2t
function f (t) = -6e
cos (Tt).
Here, t is measured in seconds, and the function is the displacement from
equilibrium, measured in inches.
Blank 1: What is the frequency of the motion?
Blank 2: What is the period of the motion?
Blank 3: After 25 seconds, how many oscillations wilIl have been completed?
Blank 4: Briefly explain the difference between simple harmonic motion and damped
harmonic motion.
You don't need to put anything in this blank; you should answer this on your
handwritten work.
Blank # 1
Blank # 2
Blank # 3
Blank # 4
Transcribed Image Text:Suppose a mass-spring system exhibits damped harmonic motion, modeled by the -0.2t function f (t) = -6e cos (Tt). Here, t is measured in seconds, and the function is the displacement from equilibrium, measured in inches. Blank 1: What is the frequency of the motion? Blank 2: What is the period of the motion? Blank 3: After 25 seconds, how many oscillations wilIl have been completed? Blank 4: Briefly explain the difference between simple harmonic motion and damped harmonic motion. You don't need to put anything in this blank; you should answer this on your handwritten work. Blank # 1 Blank # 2 Blank # 3 Blank # 4
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