7. An Undamped spring mass system is used at a high efficient mixer. The Srping in the system as a spring consant of 30 pounds per foot. A container which weighs 10 pounds is placed on the spring. Thes sping mass system has a safety shut off when the mass moves beyond 1 ft. We want to acchieve a maximum amount of mixing with a external force which does not exceed 1 pound. a. What external driving force should we apply? b. At what time will the system trigger the automatic shut off? (Hint: zoom in on a plot)

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7. An Undamped spring mass system is used at a high efficient mixer. The Srping in the system
as a spring consant of 30 pounds per foot. A container which weighs 10 pounds is placed on the
spring. Thes sping mass system has a safety shut off when the mass moves beyond 1 ft. We want
to acchieve a maximum amount of mixing with a external force which does not exceed 1 pound.
a. What external driving force should we apply?
b. At what time will the system trigger the automatic shut off? (Hint: zoom in on a plot)
Transcribed Image Text:7. An Undamped spring mass system is used at a high efficient mixer. The Srping in the system as a spring consant of 30 pounds per foot. A container which weighs 10 pounds is placed on the spring. Thes sping mass system has a safety shut off when the mass moves beyond 1 ft. We want to acchieve a maximum amount of mixing with a external force which does not exceed 1 pound. a. What external driving force should we apply? b. At what time will the system trigger the automatic shut off? (Hint: zoom in on a plot)
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