11. A unit mass hangs in equilibrium from a spring with constant k = 1/16. Starting at t = 0, a force F(t) = 3 sint is applied to the mass. Find its displacement for t > 0.
11. A unit mass hangs in equilibrium from a spring with constant k = 1/16. Starting at t = 0, a force F(t) = 3 sint is applied to the mass. Find its displacement for t > 0.
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Transcribed Image Text:12.
A unit mass hangs in equilibrium from a spring with constant k = 1/16. Starting at t = 0, a force
F(t) = 3 sint is applied to the mass. Find its displacement for t > 0.
C/G A 4 lb weight stretches a spring 1 ft in equilibrium. An external force F(t) = .25 sin 8t
lb is applied to the weight, which is initially displaced 4 inches above equilibrium and given a
downward velocity of 1 ft/s. Find and graph its displacement for t > 0.
13. A 2 lb weight stretches a spring 6 inches in equilibrium. An external force F(t) = sin 8t lb is ap-
plied to the weight, which is released from rest 2 inches below equilibrium. Find its displacement
for t > 0.
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