Chapter 5.5, Problem 52E

Suppose a spring has spring constant k = 8. The spring has a mass of 32 units hanging from its end. If we pull the mass down 7 inches and release it, answer the following: Blank 1: What is the frequency of the motion? Blank 2: What is the period of the motion? Blank 3: What is the function describing the motion?

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People who believe in biorhythms claim there are three cycles that rule our behavior - the physical, emotional, and mental. Each is a sine function of a certain period. The function for our emotional fluctuations is where t is measured in days starting at birth. Emotional fluctuations, E, are measured from 1 to 1, with 1 representing peak emotional well-being, 1 representing the low for emotional well-being, and 0 representing feeling neither emotionally high nor low. a. Find E corresponding to t = 30, 35, 40, 45, and 50. Describe what you observe. b. What is the period of the emotional cycle? a. Find E corresponding to t = 30. E = Find E corresponding to t = 35. E= Find E corresponding to t = 40. E= Find E corresponding to t= 45. E= Find E corresponding to t = 50. E= Describe what you observe. T E = sint (Equation may not be based on actual studies.) O Our emotions appear to cycle between 1 and 0. O Our emotions appear to cycle between - 1 and 1. O Our emotions appear to cycle between…