A mass weighing 4 lb stretches a spring 8 in. If the mass is pushedupward, contracting the spring a distance of 8 in and then set inmotion with a downward velocity of 6 ft/s, and if there is nodamping and no other external force on the system, find theposition u of the mass at any time t. Determine the frequency (wo),period (T), amplitude (R), and phase (8) of the motion.NOTE: Enter exact answers. Use t as the independent variable.u(t) =Wo =rad/sT =S

(a)Position u of the mass at any time t.(b) the frequencyωo.ctime periodT(d)amplitudeR(e) Phaseδ…

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A mass weighing 5 lb stretches a spring 4in. If the mass is pushed upward, contracting the spring a distance of 5 in and then set in motion with a downward velocity of 3 ft/s, and if there is no damping and no other external force on the system, find the position u of the mass at any time t. Determine the frequency (wo), period (T), amplitude (R), and phase (8) of the motion. NOTE: Enter exact answers. Use t as the independent variable. u(t) wo rad/s T = R = ft rad || ||
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