An object stretches a spring 6 inches in equilibrium. a) Find its displacement for t > 0 if it is initially displaced 4 inches below equilibrium and given an upward velocity of 8 ft/s. y(t) = = b) State the natural frequency of the oscillation. Wo = rad/s c) State the period of the oscillation. T = S d) State the amplitude of the oscillation. R ft = e) State the phase angle of the oscillation. The phase angle should be between π radians. Notes: rad π and 1. Use g = 32 ft/s². 2. Assume there is no damping in the system and displacement and velocity are positive upward.
An object stretches a spring 6 inches in equilibrium. a) Find its displacement for t > 0 if it is initially displaced 4 inches below equilibrium and given an upward velocity of 8 ft/s. y(t) = = b) State the natural frequency of the oscillation. Wo = rad/s c) State the period of the oscillation. T = S d) State the amplitude of the oscillation. R ft = e) State the phase angle of the oscillation. The phase angle should be between π radians. Notes: rad π and 1. Use g = 32 ft/s². 2. Assume there is no damping in the system and displacement and velocity are positive upward.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:An object stretches a spring 6 inches in equilibrium.
a) Find its displacement for t > 0 if it is initially displaced 4 inches below equilibrium
and given an upward velocity of 8 ft/s.
y(t) =
=
b) State the natural frequency of the oscillation.
Wo =
rad/s
c) State the period of the oscillation.
T
S
=
d) State the amplitude of the oscillation.
R
ft
=
e) State the phase angle of the oscillation. The phase angle should be between - T and
π radians.
=
Notes:
1. Use g 32 ft/s².
=
rad
2. Assume there is no damping in the system and displacement and velocity are
positive upward.
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