A 16-lb weight is attached to the lower end of a coil spring suspended from the ceiling stretches the spring up to 16ft from its natural length. The air resistance of the mass-spring system is numerically equal to the instantaneous velocity 1(dx/dt). Assume that an external force f(t) = e¯(tan t) is acting on the system. At time t-0 the weight is set in motion from a position of 2ft. below its equilibrium position by giving it a downward velocity of 2ft/sec. Find the displacement x(t) of the mass. (g = 32ft/sec²).
A 16-lb weight is attached to the lower end of a coil spring suspended from the ceiling stretches the spring up to 16ft from its natural length. The air resistance of the mass-spring system is numerically equal to the instantaneous velocity 1(dx/dt). Assume that an external force f(t) = e¯(tan t) is acting on the system. At time t-0 the weight is set in motion from a position of 2ft. below its equilibrium position by giving it a downward velocity of 2ft/sec. Find the displacement x(t) of the mass. (g = 32ft/sec²).
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Transcribed Image Text:A 16-lb weight is attached to the lower end of a coil spring
suspended from the ceiling stretches the spring up to 16ft from
its natural length. The air resistance of the mass-spring system
is numerically equal to the instantaneous velocity 1(dx/dt).
Assume that an external force f(t) = e¯t(tan t) is acting on
the system. At time t-0 the weight is set in motion from a
position of 2ft. below its equilibrium position by giving it a
downward velocity of 2ft/sec. Find the displacement x(t) of
the mass. (g = 32ft/sec?).
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