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True or False - An undamped sinusoidally-driven harmonic oscillator can oscillate at more than one frequency. True or False - The stronger the damping on a harmonic oscillator, the more "sharply tuned" it is. True or False - A damped sinusoidally-driven harmonic oscillator has the largest response when driven at its natural frequency. True or False - The Fourier transform of the impulse response of damped harmonic oscillator is called the transfer function.

True or False - An undamped sinusoidally-driven harmonic oscillator can oscillate at more than one frequency. True or False - The stronger the damping on a harmonic oscillator, the more "sharply tuned" it is. True or False - A damped sinusoidally-driven harmonic oscillator has the largest response when driven at its natural frequency. True or False - The Fourier transform of the impulse response of damped harmonic oscillator is called the transfer function.

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Answer True or false for the following questions

i. True or False - An undamped sinusoidally-driven harmonic oscillator can oscillate at more than one frequency. ii. True or False - The stronger the damping on a harmonic oscillator, the more "sharply tuned" it is. iii. True or False - A damped sinusoidally-driven harmonic oscillator has the largest response when driven at its natural frequency. iv. True or False - The Fourier transform of the impulse response of damped harmonic oscillator is called the transfer function. v. True or False - is equal to a real-valued number. vi. True or False - If a +ib = Ae, then = arctan (a/b) vii. True or False - A Fourier series expresses a function as an infinite series of complex exponentials. viii. True or False - For analogs between a mass-on-a-spring and an RLC circuit, mass is directly analogous to inductance while stiffness is analogous to capacitance. ix. True or False - A simple pendulum is "simple" by virtue of ignoring linear contributions to the restoring force. x. True or False A nonlinear oscillator can have an associated potential energy function.
Transcribed Image Text:i. True or False - An undamped sinusoidally-driven harmonic oscillator can oscillate at more than one frequency. ii. True or False - The stronger the damping on a harmonic oscillator, the more "sharply tuned" it is. iii. True or False - A damped sinusoidally-driven harmonic oscillator has the largest response when driven at its natural frequency. iv. True or False - The Fourier transform of the impulse response of damped harmonic oscillator is called the transfer function. v. True or False - is equal to a real-valued number. vi. True or False - If a +ib = Ae, then = arctan (a/b) vii. True or False - A Fourier series expresses a function as an infinite series of complex exponentials. viii. True or False - For analogs between a mass-on-a-spring and an RLC circuit, mass is directly analogous to inductance while stiffness is analogous to capacitance. ix. True or False - A simple pendulum is "simple" by virtue of ignoring linear contributions to the restoring force. x. True or False A nonlinear oscillator can have an associated potential energy function.
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