A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 65 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 65 lbs when the mass has a velocity of 2 ft/sec.

Suppose the object is displaced an additional 8 inches and released.

Find an equation for the object's displacement, u(t), in feet after t seconds.

A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a
medium that exerts a viscous resistance of 65 lbs when the mass
has a velocity of 2 ft/sec.
Suppose the object is displaced an additional 8 inches and
released.
Find an equation for the object's displacement, u(t), in feet after t
seconds.
2
u(t) =
cos (8t) + sin(8t)) ×
e
3
2/3
Transcribed Image Text:A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 65 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. 2 u(t) = cos (8t) + sin(8t)) × e 3 2/3
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