A mass weighting 48 lbs stretches a spring 4 inches. The mass is in a medium that exerts a viscous resistance of 14 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 6 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t)= 0.333e COS 47.096 2 t +0.3397e t sin 47.096 2 tx

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A mass weighting 48 lbs stretches a spring 4 inches. The mass is in a medium that exerts a viscous
resistance of 14 lbs when the mass has a velocity of 2 ft/sec.
Suppose the object is displaced an additional 6 inches and released.
Find an equation for the object's displacement, u(t), in feet after t seconds.
u(t)= 0.333e COS
47.096
2
t +0.3397e
t
sin
47.096
2
tx
Transcribed Image Text:A mass weighting 48 lbs stretches a spring 4 inches. The mass is in a medium that exerts a viscous resistance of 14 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 6 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t)= 0.333e COS 47.096 2 t +0.3397e t sin 47.096 2 tx
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