Question
In: Advanced Math
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant 9 lb/in is suddenly set in motion at t=0 by an external force of 99cos(20t) lb, determine the position of the mass at any time. Assume that g=32 ft/s2. Solve for u in feet.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 33cos(20t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
u(t)=?
If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 6 lb
and a spring constant 4 lbin is suddenly set in motion at t=0 by an
external force of 63cos(12t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
If an undamped spring-mass system with a mass that weighs 24 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 180cos(8t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
If an undamped spring-mass system with a mass that weighs 24 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 9 lbin is suddenly set in motion at t=0 by an
external force of 288cos(4t) lb, determine the position of the mass
at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
If an undamped spring-mass system with a mass that weighs 24 lb and a spring constant...
If an undamped spring-mass system with a mass that weighs 24 lb
and a spring constant 16 lbin is suddenly set in motion at t=0 by
an external force of 432cos(8t) lb, determine the position of the
mass at any time. Assume that g=32 fts2. Solve for u in feet.
Enclose arguments of functions in parentheses. For example,
sin(2x).
u(t) = ?
undamped spring-mass system with mass 6 kg and a spring which is stretched 2 meter by...
undamped spring-mass system with mass 6 kg and a spring which is
stretched 2 meter by 10 Newtons. Suppose an oscillating force 3
cos(ωt) is acting on the system. What value of ω causes resonance?
For this value of ω, find a formula for x, the distance between the
weight and equilibrium t seconds after the weight starts at x = 0
at rest.
A mass that weighs 32 lb stretches 4/3 ft of a spring. The mass is initially...
A mass that weighs 32 lb stretches 4/3 ft of a spring. The
mass
is initially released from rest from a point 1 ft below the
equilibrium
position, and the subsequent movement takes place in a
medium
that offers a damping force equal to the instantaneous
velocity.
Using differential equations find the position of the mass at time
t
if an external force equal to f (t) = 10cos (t) is applied to the
mass
(1 point) A mass weighing 4 lb4 lb stretches a spring 6 in.6 in. The mass...
(1 point) A mass
weighing 4 lb4 lb stretches a spring 6 in.6 in.
The mass is displaced 8 in8 in in the downward direction from its
equilibrium position and released with no initial velocity.
Assuming that there is no damping, and that the mass is acted on by
an external force of 5cos(7t)5cos(7t) lb,
solve the initial value problem describing the motion of the
mass.
For this problem, please remember to use English units: ft, lb,
sec.ft, lb, sec....
A 16-lb weight stretches a spring 16 ft. The spring-mass system is in a medium with...
A 16-lb weight stretches a spring 16 ft. The spring-mass
system is in a medium with a damping constant of 1.5 lb-sec/ft,
and an external force given by
f (t)= 3+e^-3t (in pounds) is being applied. What is the
solution function describing the position of the mass at any time
of the mass is released from
1ft below the equilibrium position with an initial velocity of 2
ft/sec downward?
A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 Nm. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resistance numerically equal to the
magnitude of the instantaneous velocity. If the system is driven by
an external force of 9cos(3t)−6sin(3t) N,determine the steady-state
response in the form Rcos(ωt−δ).
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