A 64 pound weight is attached to the lower end of a coiled spring which hangs ve

Question

A 64 pound weight is attached to the lower end of a coiled spring which hangs vertically from a fixed support. The weight comes to rest in its equilibrium position, thereby stretching the spring 2 feet. the weight is then placed 1 foot above the equilibrium and given a downward velocity of 5 feet per second. The medium it is in offers a resistance in pounds numerically equal to ? times the instantaneous velocity in feet per second.

(a) determine the value of ? such that the resulting motion would be critically damped

(b) determine the equation of motion for the value of ? found in (a) above

(c) find the time at which the weight attains its extreme displacement from the equilibrium position

(d) find the position of weight at this instant

Explanation / Answer

You can see dis answer only 1-2 values are different http://www.chegg.com/homework-help/questions-and-answers/32-pound-weight-attatched-lower-end-coiled-spring-hangs-vertically-fixed-support-weight-co-q1381378

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