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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/s2. 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

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/s2. 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 g332 ft/s2. 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 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 %3D
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 g332 ft/s2. 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 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 %3D
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