Solution: Oscillating Spring A mass attached to a spring

Chapter 4, Problem 4.1.189

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Oscillating Spring A mass attached to a spring oscillates upward and downward. The length L of the spring after t seconds is given by the function L = 15 - 3.5 cos (27rt), where L is measured in centimeters (Figure 12). a. Sketch the graph of this function for 0 :s; t:S; 5. Ie axes h. What is the length the spring when it is at equilibrium? c. What is the length the spring when it is shortest? d. What is the length the spring when it is longest?

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