A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a distance of 2 in and then set in motion with a downward velocity of 6 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) (5) CUL
A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a distance of 2 in and then set in motion with a downward velocity of 6 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) (5) CUL
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed
upward, contracting the spring a distance of 2 in and then set in
motion with a downward velocity of 6 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 (7), amplitude (R), and phase (6) of the motion.
NOTE: Enter exact answers. Use t as the independent variable.
8
16
15
P
COS
t+ sin
8
(156)
X
5
wo =
T=
R=
S
16
5
5 п
8
√9721
40
0.8643
t
rad/sX
S X
ft X
rad X
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