Question

O. If a mass attached to a spring is raised xo ft and given an initial veritical velocity of vo ft/sec, then the position x of the mass for time t in seconds and a positive constant w is given by x x0 Cos(wt ) +sin(wt). Suppose 3, xo = 5 ft, and vo = 10 ft/sec. Use the reduction formula to write x in the form r sin(wt + 6). Give &in radians rounded to the nearest thousandth. Find the amplitude and frequency of the spring's oscillation. b. Suppose and xo remain constant, and vo 8 ft/sec. Use the reduction formula to write x in the form r sin(wt +8). Give & in radians rounded to the nearest thousandth. Find the amplitude and frequency of the spring's a. oscillation. c. Discuss the effects on amplitude and frequency if vo is more than 10 ft/sec. Justify your analysis using parts a and b. Use complete sentences and correct grammar to discuss your answer and reasoning.

Answer 1

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