1. A mass weighting 8 pounds is suspended from a spring whose spring constant is 9...

1. A mass weighting 8 pounds is suspended from a spring whose spring constant is 9 lb/ft. There are no damping or

external forces. The mass is then released from an initial position of 5 feet above the equilibrium position with an

initial downward velocity of 30 ft/sec. (Note: Use g = 32 ft/sec!)

a) Write down an initial value problem modeling this situation.

b) Find the equation of motion.

c) What are the amplitude, period, and frequency of the simple harmonic motion?

d) At what time does the mass pass through the equilibrium position heading upward for the first time, if ever?

Explain your answer.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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