Question
In: Math
When a 6 kg mass is attached to a spring whose constant is 24 N/m, it...
| When a 6 kg mass is attached to a spring whose constant is
24 N/m, it comes to rest in the equilibrium position. Starting at
t = 0, a force equal to f (t) =
42e−7t cos 4t is applied to
the system. In the absence of damping, |
| (a) | find the position of the mass when t = π. |
| (b) | what is the amplitude of vibrations after a very long
time? |
Solutions
milcah answered 2 years agoRelated Solutions
When a 6 kg mass is attached to a spring whose constant is 294 N/m, it...
When a 6 kg mass is attached to a spring whose constant is
294 N/m, it comes to rest in the equilibrium position. Starting at
t = 0, a force equal to f (t) =
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the system. In the absence of damping,
(a)
find the position of the mass when t =
π.
(b)
what is the amplitude of vibrations after a very long
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When a 5 kg mass is attached to a spring whose constant is 180 N/m, it...
When a 5 kg mass is attached to a spring whose constant is
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the system. In the absence of damping,
(a)
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(b)
what is the amplitude of vibrations after a very long time
a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m...
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A mass weighing 4 N is attached to a spring whose constant is 2 N/m. The...
A mass weighing 4 N is attached to a spring whose constant is 2
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the instantaneous velocity. The mass is initially released from a
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of 6 m/s. Determine the time at which the mass passes through the
equilibrium position. (Use
g = 9.8 m/s2
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14
s
Find the time after the...
A mass weighing 4 N is attached to a spring whose constant is 2 N/m. The...
A mass weighing 4 N is attached to a spring whose constant is 2
N/m. The medium offers a damping force that is numerically equal to
the instantaneous velocity. The mass is initially released from a
point 1 m above the equilibrium position with a downward velocity
of 6 m/s. Determine the time at which the mass passes through the
equilibrium position. (Use
g = 9.8 m/s2
for the acceleration due to gravity.)
s
Find the time after the mass...
a. A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and...
a. A 0.5 kg mass attached to a linear spring, with spring
constant 5 N/m and damping constant 0.2 kg/s, is initially
displaced 10 cm from equilibrium. (a) What is the natural frequency
of oscillation? What is its period of oscillation? How long does it
take for the amplitude to decrease to 10% of its starting value?
How many oscillations have occurred in this time? What fraction of
the initial energy remains after this time?
b. Two traveling waves with...
1. A mass of 0.019 kg attached to a spring with spring constant 27.0 N/m is...
1. A mass of 0.019 kg attached to a spring with spring constant
27.0 N/m is pulled to the right 8.0 cm and released. The mass
oscillates with a frequency of 6.0 Hz. If the mass is pulled to the
right 16.0 cm before being released, what is the frequency?
a. 6.0 Hz
b. 3.0 Hz
c. 1.5 Hz
d. 12 Hz
e. 24 Hz
2. A window loses power/heat energy through a pane of glass to
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A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...
A 0.5-kg mass is attached to a spring with spring constant 2.5
N/m. The spring experiences friction, which acts as a force
opposite and proportional to the velocity, with magnitude 2 N for
every m/s of velocity. The spring is stretched 1 meter and then
released.
(a) Find a formula for the position of the mass as a function of
time.
(b) How much time does it take the mass to complete one
oscillation (to pass the equilibrium point, bounce...
A mass of 2 kilogram is attached to a spring whose constant is 8 N/m, and...
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position with no initial velocity. An external force f(t) =
2U(t−1)*e^(−2(t−1)) is applied.
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A block of 0.42 kg attached to a horizontal spring whose spring constant is 130.00 N/m...
A block of 0.42 kg attached to a horizontal spring whose spring
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equilibrium position of the block.
(d) Calculate the block 's velocity at 0.045 s. The velocity can
be positive, zero or negative.
Notice that the unit of angular frequency ω is rad/s, the unit...
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