mass weighin pounds stro spring 4 The subsequent motion takes place in medium that offers a damping force numerically equal to B (B > 0) times the instantaneous velocity. If the mass is initially released from the equilibrium position with an upward velocity of 2 ft/s, show that when B > 3 Vĩ the equa- tion of motion is -3 x(t) - 280/3 sinh VB? – 181- VB? - 18
mass weighin pounds stro spring 4 The subsequent motion takes place in medium that offers a damping force numerically equal to B (B > 0) times the instantaneous velocity. If the mass is initially released from the equilibrium position with an upward velocity of 2 ft/s, show that when B > 3 Vĩ the equa- tion of motion is -3 x(t) - 280/3 sinh VB? – 181- VB? - 18
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Transcribed Image Text:A mass weighing 24 pounds stretches a spring 4 feet.
The subsequent motion takes place in medium that offers
a damping force numerically equal to B (B > 0) times
the instantaneous velocity. If the mass is initially
released from the equilibrium position with an upward
velocity of 2 ft/s, show that when B > 3V2 the equa-
tion of motion is
-3
x(1)
e VB? - 181.
-2e/3 sinh
VB? - 18
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