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Two Weights (Weight 1 and Weight 2 ) Are Suspended t=0t=0

Question 77

Multiple Choice

Two weights (weight 1 and weight 2 ) are suspended from the ceiling by springs. At time t=0t=0 ( tt in seconds) , the weights are set in motion and begin bobbing up and down. Eventually, however, the oscillation of both weights dies down. The following equations describe the distance of each weight from the ceiling as a function of time:
d1=5+4cos(πt) e0.3t and d2=3+3cos(2πt) e0.5td_{1}=5+4 \cos (\pi t) e^{-0.3 t} \text { and } d_{2}=3+3 \cos (2 \pi t) e^{-0.5 t}
Which weight has oscillations which die down the slowest?


A) Weight 1
B) Weight 2

Correct Answer:

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