PH 314 Fall 2001
Laundry list for midterm exam
time derivatives of vectors
dot product of vectors
integrals of dot products and cross products
1-d velocity, distance, time problems (F(t), t F(x),x
F(v),v )
potential energy, force, maxs, mins, oscillation freqs
at bottom
oscillators
simple harmonic osc properties time averages, space averages
PE curve
oscillation frequency close to the bottom of a potential
well
damped oscillators
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start from F = ma, let x = C exp(at), solve for a.
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from this, show the relation between b, w, and wo for an
underdamped oscillator
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show that underdamped oscs are described by exp(-bt)(A sin
wt + B sin wt)
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start from equation of motion for underdamped osc and put
initial conditions into equations of motion
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identify the electrical analogs in a series RLC circuit for
the displacement, velocity, b, mass and k
driven oscillators
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response curve amplitude vs. omega
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Q value in terms of beta
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Q value in terms of omega/delta-omega
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R L C circuit analysis
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Q RLC
coupled oscillators
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set up equations of motion
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solve for oscillaton freqs
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solve for amplitude ratios
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time for energy transfer between oscillators when x1o=D,
x2o=x2-doto=x1doto = 0