The top floor of a building undergoes damped harmonic

Chapter 5, Problem 72

(choose chapter or problem)

The top floor of a building undergoes damped harmonic motion after a sudden brief earthquake. At time t 0 the displacement is at a maximum, 16 cm from the normal position. The damping constant is c 0.72 and the building vibrates at 1.4 cycles per second. (a) Find a function of the form y kect cos vt to model the motion. (b) Graph the function you found in part (a). (c) What is the displacement at time t 10 s? t

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