A homework question about Acoustics-Mechanical Engineering.

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A spring-mass-damper system is driven by a triangular wave forcing function as described by the equation: PLEASE SEE THE IMAGE in attachment, where PLEASE SEE THE IMAGE in attachment:

See the waveform sketch below. Hint: You know the frequency-dependent mechanical impedance of a mass-spring-damper system, and you know that superposition applies.

(a.) Find the real-valued velocity response v(t) = dx/dt.

(b.) Is the output v(t) also a triangular wave? Explain briefly.

(c.) What is the mean square velocity v^2.

(d.) Find the average power W dissipated per cycle.

 

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