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3 cards from this section. Quick, good the night before a test.
Define damped oscillation.
What happens to the amplitude in a real system?
What does the envelope curve represent in damped oscillations?
Think of how the wave looks over time.
What is the definition of damped oscillation?
Think about how waves lose energy.
True or False: The envelope curve indicates the diminishing amplitude of a damped oscillation.
Remember what the envelope represents related to the wave.
A given damped oscillation equation is y(t)=e^(-0.3t)(5cos(4t)+2sin(4t)). Calculate the damping ratio and explain its significance.
Use the form ζ = c / 2√(mk) to interpret the response characteristics.
A bridge's vibrations follow y(t)=e^(-1.1t)(3cos(2.5t)+2sin(2.5t)). What implications does this have for structural integrity?
Consider how quick decay affects resonance and safety.
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