Question

A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s. (Use g 32 ft/s for the acceleration due to gravity.) (a) Find the equation of motion x(t) (b) what are the amplitude, period, and frequency of the simple harmonic motion? amplitude1.118 ft period frequency cycles/s (c) At what times does the mass return to the point 1 foot below the equilibrium position? (Enter your answers as a comma-separated list. Let n represent an arbitrary integer.) (d) At what times does the mass pass through the equilibrium position moving upward? (Let n represent an arbitrary integer.) At what times does the mass pass through the equilibrium position moving downward? (Let n represent an arbitrary integer.) (e) What Is the velocity of the mass at t 3/16 s? ft/s (f) At what times is the velocity zero? (Let n represent an arbitrary integer)

Answer 1

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