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 a downward 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.
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 a downward 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.
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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 a downward 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.
Φ
=
Notes:
1. Use g
rad
=
32 ft/sec².
2. Upward forces and movement are associated with y > 0. Downward forces and
movement are associated with y < 0.
π and
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VIEWStep 2: (a) To find its displacement for t>0.
VIEWStep 3: (b) To find the natural frequency of the oscillation.
VIEWStep 4: (c) To find the period of oscillation.
VIEWStep 5: (d) To find the amplitude of the oscillation.
VIEWStep 6: (e) To find the phase angle of the oscillation.
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