A 8-lb weight is hung on the lower end of a coil spring suspended from a beam. The weight comes to rest in its equilibrium position, thereby stretching the spring 4 inch. The weight is then pulled down 6 inch below this position and released at t = 0. At this instant an external force given by F (t) = 8 cos 5t is applied to the system. The resistance of the medium in pounds is numerically equal to 4x, where x' is the instantaneous velocity in feet per second. Determine the displacement of the weight as a function of the time

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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4. A 8-lb weight is hung on the lower end of a coil spring suspended from a beam. The
weight comes to rest in its equilibrium position, thereby stretching the spring 4 inch.
The weight is then pulled down 6 inch below this position and released at t = 0. At
this instant an external force given by F (t) = 8 cos 5t is applied to the system. The
resistance of the medium in pounds is numerically equal to 4x, where x' is the
instantaneous velocity in feet per second. Determine the displacement of the weight
as a function of the time
Transcribed Image Text:4. A 8-lb weight is hung on the lower end of a coil spring suspended from a beam. The weight comes to rest in its equilibrium position, thereby stretching the spring 4 inch. The weight is then pulled down 6 inch below this position and released at t = 0. At this instant an external force given by F (t) = 8 cos 5t is applied to the system. The resistance of the medium in pounds is numerically equal to 4x, where x' is the instantaneous velocity in feet per second. Determine the displacement of the weight as a function of the time
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