Question

A spring is stretched by 9 in by a mass weighing 18 lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.15 lb⋅s/ft and is acted on by an external force of 6cos(8t) lb.Determine the steady state response of this system. Use 32 ft/s^2 as the acceleration due to gravity. Pay close attention to the units. Leave answer in terms of exact numbers(no decimals).

Answer #1

Differential Equations
A spring is stretched 6in by a mass that weighs 8 lb. The mass
is attached to a dashpot mechanism that has a damping constant of
0.25 lb· s/ft and is acted on by an external force of 2cos(2t)
lb.
(a) Find position u(t) of the mass at time t
(b) Determine the steady-state response of this system
Assume that g = 32 ft/s2

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If the spring constant is 10lb/ft and the damping constant is 4
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damping constant is 3 lb-sec/ft, find the steady-state solution
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Use g=32 ft/sec^2

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36y'' − y = 0,
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Find the solution of the given initial value problem.
y(t) = ?
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u'' + u = 9 cos ωt,
u(0) = 5, u'(0) = 4
3-A spring is stretched 6 in. by a mass that weighs 8 lb. The
mass is attached to a dashpot mechanism that has a...

A mass weighing 4 pounds is attached to a spring whose constant
is 2 lb/ft. The medium offers a damping force that is numerically
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s
Find the time after the mass...

A mass of 8 kg stretches a spring 16 cm. The mass is acted on by
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A
mass weighing 3 lb stretches a spring 3 in. If the mass is pushed
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A mass weighing 16 pounds stretches a spring
8
3
feet.
The mass is initially released from rest from a point
3 feet
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1
2
the
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x(t)
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f(t) = 20 cos(3t).
(Use
g =
32 ft/s2
for
the acceleration...

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