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06-06-2023
Mathematics

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Consider a mass-spring system described by the equation 3x" + Bx' + kx - 0, B≥ 0, k > 0. a. Suppose k = 12. For what value(s) of ß would the system be critically damped? b. Suppose a force F(t) = 49 sin at is applied to the system with ß = 0 and k = 75. For which value(s) of a will the system exhibit resonance, if any?

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