Question
In: Advanced Math
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
Colby Messinger answered 1 year agoRelated Solutions
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A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from...
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is initially released from rest from a point 5 feet below the
equilibrium position, and the subsequent motion takes place in a
medium that offers a damping force that is numerically equal to 1/2
the instantaneous velocity. Find the equation of motion x(t) if the
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