3 of 8 r > 0.6/1 INA ||| A mass weighing 6 lb stretches a spring 2 in. If the mass is pushed upward, contracting the spring a distance of 4 in and then set in motion with a downward velocity of 4 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 = 8√√3 rad/s 7T T = 4√√√3 S R = 8 = 6 5/6 ft rad

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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3 of 8
r
>
0.6/1
INA
|||
A mass weighing 6 lb stretches a spring 2 in. If the mass is pushed
upward, contracting the spring a distance of 4 in and then set in
motion with a downward velocity of 4 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 = 8√√3
rad/s
7T
T = 4√√√3
S
R =
8 =
6
5/6
ft
rad
Transcribed Image Text:3 of 8 r > 0.6/1 INA ||| A mass weighing 6 lb stretches a spring 2 in. If the mass is pushed upward, contracting the spring a distance of 4 in and then set in motion with a downward velocity of 4 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 = 8√√3 rad/s 7T T = 4√√√3 S R = 8 = 6 5/6 ft rad
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