A spring is stretched 6 in. when a 4-lb weight is hung on it. The 4-lb weight is attached and pushed up 4 in. above the equilibrium point and given a downward initial velocity of 8 ft/sec to set its motion. Assume g=32 ft/s?. There is no damping or externally applied force. If x is the displacement from the equilibrium position in feet and following the convention that downwards is positive, the appropriate initial condition is O x(0) = 1/3 ft, x'(0) = -8 ft/s O x(0) = -1/3 ft, x'(0) = 8 ft/s O x(0) = -0.25 ft, x'(0) = 8 ft/s O x(0) = -1/3 ft/s, x'(0) = 8 ft

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Chapter13: Vibrations And Waves
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A spring is stretched 6 in. when a 4-lb weight is hung on it. The 4-lb
weight is attached and pushed up 4 in. above the equilibrium point and
given a downward initial velocity of 8 ft/sec to set its motion. Assume
g=32 ft/s?. There is no damping or externally applied force.
If x is the displacement from the equilibrium position in feet and
following the convention that downwards is positive, the appropriate
initial condition is
O x(0) = 1/3 ft, x'(0) = -8 ft/s
%3D
O x(0) = -1/3 ft, x'(0) = 8 ft/s
O x(0) = -0.25 ft, x'(0) = 8 ft/s
O x(0) = -1/3 ft/s, x'(0) = 8 ft
Transcribed Image Text:A spring is stretched 6 in. when a 4-lb weight is hung on it. The 4-lb weight is attached and pushed up 4 in. above the equilibrium point and given a downward initial velocity of 8 ft/sec to set its motion. Assume g=32 ft/s?. There is no damping or externally applied force. If x is the displacement from the equilibrium position in feet and following the convention that downwards is positive, the appropriate initial condition is O x(0) = 1/3 ft, x'(0) = -8 ft/s %3D O x(0) = -1/3 ft, x'(0) = 8 ft/s O x(0) = -0.25 ft, x'(0) = 8 ft/s O x(0) = -1/3 ft/s, x'(0) = 8 ft
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