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Unformatted text preview: cies) and the quality factor Q only.
(e) Is there a Q value below which there no longer is a resonant peak? If so, determine this
Q value. Physics 2214, Spring 2011 4 Cornell University 8. Measuring mass using a driven oscillator.
Suppose that you want to use a driven mechanical oscillator to detect tiny masses, as
discussed in lecture. Assume that your oscillator is underdamped and has Q=4,000.
What fractional change in mass Δm/m will cause the resonant frequency to shift by the
width Δω of the resonance? (Make reasonable approximations.)
9. Energy in driven oscillations. Consider a driven oscillator as in Problem 7 above. (a) What is the instantaneous potential energy U(t) of the system? How does its magnitude
vary with frequency?
(b) What is the instantaneous kinetic energy K(t) of the system? How does its magnitude
vary with frequency?
(c) What is the ratio of the maximum instantaneous kinetic energy to the maximum
instantaneous potential energy? (This is the same as the ratio of the average energies).
E...
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