Math 333 Logarithms Worksheet With Answers Page 3
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A2.
Consider a mass and spring system with no damping, driven by a sinusoid forcing
function at 500 cycles per second (nb. cycles, not radians). In the response, we
observe beats. The amplitude of the response function rises and falls two times per
second.
Suppose m = 100 grams. Find the possible values for k, the spring constant.
Solution: Solution: Let ω
denote the natural frequency of the system in radians per
0
second. The system is driven at 500 cycles per second, which is the same as 1000π
radians per second.
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