An object stretches a spring 6 inches in equilibrium. a) Find its displacement for t> 0 if it is initially displaced 8 inches above equilibrium and given an upward velocity of 4 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 Tradians. rad -π and
An object stretches a spring 6 inches in equilibrium. a) Find its displacement for t> 0 if it is initially displaced 8 inches above equilibrium and given an upward velocity of 4 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 Tradians. rad -π and
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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 8 inches above equilibrium
and given an upward velocity of 4 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
π
e) State the phase angle of the oscillation. The phase angle should be between - and
π radians.
$
rad
Notes:
Use g = 32 ft/s².
Assume there is no damping in the system and displacement and velocity are positive
upward.
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