Maximum Displacement An 8-lb weight stretches a spring 6 ft, thereby reaching its equilibrium position. As- suming a damping constant for the system of 4 lb/(ft/sec), the weight is pulled down 3 inches below its equilibrium position and given a downward velocity of 2 ft/sec. When will the mass attain its maximum displacement below equi- librium? What is the maximum displacement? Sketch the graph of the motion.

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14. Maximum Displacement An 8-lb weight stretches a
spring 6 ft, thereby reaching its equilibrium position. As-
suming a damping constant for the system of 4 lb/(ft/sec),
the weight is pulled down 3 inches below its equilibrium
position and given a downward velocity of 2 ft/sec. When
will the mass attain its maximum displacement below equi-
librium? What is the maximum displacement? Sketch the
graph of the motion.
Transcribed Image Text:14. Maximum Displacement An 8-lb weight stretches a spring 6 ft, thereby reaching its equilibrium position. As- suming a damping constant for the system of 4 lb/(ft/sec), the weight is pulled down 3 inches below its equilibrium position and given a downward velocity of 2 ft/sec. When will the mass attain its maximum displacement below equi- librium? What is the maximum displacement? Sketch the graph of the motion.
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