Question

Consider an underdamped oscillator with the parameters ω and γ. Which fraction of its total energy is dissipated over a single period of oscillation? (10 points)

Answer #1

If I have a simple harmonic oscillator with an amplitude 4.2cm
and has a total energy of 0.400J
What would be the max speed of the the mass if the mass hanging
on the oscillator is 3kg, and what is it's period of
oscillation.
Also, what is the kinetic energy of the entire system when the
position of the oscillator is 0.850 cm from the center?

What is the total energy E of oscillation? How do the potential
energy U and the kinetic energy K of the oscillating mass change
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4 points
Sketch a graph showing how E, U and K change with time over one
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5 points
How is the angular frequency w related to the period T of
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A simple harmonic oscillator consists of a 675-g block attached
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(a) What is the maximum speed of the block?
Did you accidentally divide or take the inverse in your
calculation? m/s
(b) What is the force constant of the spring?
N/m
(c) What is the amplitude of the motion of the block?
m

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Write the Heisenberg equations of motion for x and for p.
Now suppose F is a constant from time t0 to time
t0+τ(tau), and zero the rest of the time. Find the
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Consider a particle and its anti-particle, both of mass m
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A particle with mass 2.61 kg oscillates horizontally at the end
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and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

Consider the electrical heater of Problem 7.49. If the blower
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to operate at 1000 W/m, what tem- perature would the heater assume?
How long would it take to come within 10 C of this temperature?
Allow for radiation exchange between the heater ( 0.8) and the duct
walls, which are also at 27 C.
7.49) Along,cylindrical,electricalheatingelementofdiameter
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impedance cardiography (ICG) is a noninvasive technology
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charges in time to process continuously a number of cardio dynamic
parameters such as stroke volume , SV, heart rate , HR, cardiac
output, CO, ventricular ejection time , VET, pre-ejection period
and used to detect the impedance changes caused by a high
frequency, low magnitude current flowing through the thorax between
additional two pairs of electrodes located outside of the measured
segment. The...

In this problem, you will model the mixing energy of a mixture
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A large tractor-trailer of total mass M = 10 metric tons
(10,000 kg) is traveling down I-70 in Colorado, coming down from
the Rocky Mountains into Denver. A segment of this road that is 25
kilometers long descends a total of 1000 meters. Suppose that the
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(a) What is the work done on the truck by its brakes during this
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