A 16 lb weight is suspended from a spring having spring constant 5 lb/ft. Assume that an external force given by 24 sin (10t) and a damping force with damping constant 4, are acting on the spring. Initially the weight is at rest at its equilibrium position. Find the position of the weight at any time. Find the steady state solution. Find the amplitude, period and frequency of the steady state solution. Determine the velocity of the weight at any time

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A 16 lb weight is suspended from a spring having
spring constant 5 lb/ft. Assume that an external force
given by 24 sin (10t) and a damping force with
damping constant 4, are acting on the spring.
Initially the weight is at rest at its equilibrium
position. Find the position of the weight at any time.
Find the steady state solution. Find the amplitude,
period and frequency of the steady state solution.
Determine the velocity of the weight at any time
Transcribed Image Text:A 16 lb weight is suspended from a spring having spring constant 5 lb/ft. Assume that an external force given by 24 sin (10t) and a damping force with damping constant 4, are acting on the spring. Initially the weight is at rest at its equilibrium position. Find the position of the weight at any time. Find the steady state solution. Find the amplitude, period and frequency of the steady state solution. Determine the velocity of the weight at any time
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