Question

3. < Previous Ne A mass weighing 9 lb stretches a spring 4 in. The mass is pulled down an additional 3 in and is then set in motion with an initial upward velocity of 6 ft/s. No damping is applied. a. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = ft b. Determine the period, amplitude and phase of the motion. T= R= 8=

Answer 1

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Giners ecalast mars = qeb 38 L=Him, u ft K- te = q_ 4/22 mu u" (L) + BULU) 9.ult) + 27 (L) -0 32 ulo)= 3 st y left -6 ft/3 ulo) act) + 96 Ult) =0 h from Characteristic eau m +96=0 + Cu (a) ult) a cosCuvat) + (C2 Sin Curot) uco) と 9 = 1 ulo) 46 С, - . 4 . ult) (19h) wit g (79h) on 7 ч

رط period Ta aro 4 6 R 1 16 + cumplitude 16 27 16 tant as font-vo x Я