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Using the Newton's second law model for a vibrating spring with damping and no forcing, my" + by' + ky = 0, find the equation of motion if m= 10 kg, b = 60 kg/sec, k = 250 kg/sec², y(0) = 0.3, and y'(0) = -0.1 m/sec. What is the position of the mass after 1 second? Show all work.

Using the Newton's second law model for a vibrating spring with damping and no forcing, my" + by' + ky = 0, find the equation of motion if m= 10 kg, b = 60 kg/sec, k = 250 kg/sec², y(0) = 0.3, and y'(0) = -0.1 m/sec. What is the position of the mass after 1 second? Show all work.

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Using the Newton's second law model for a vibrating spring with damping and no forcing, my" + by' + ky = 0, find the equation of motion if m= 10 kg, b = 60 kg/sec, k = 250 kg/sec², y(0) = 0.3, and y'(0) = -0.1 m/sec. What is the position of the mass after 1 second? Show all work.
Transcribed Image Text:Using the Newton's second law model for a vibrating spring with damping and no forcing, my" + by' + ky = 0, find the equation of motion if m= 10 kg, b = 60 kg/sec, k = 250 kg/sec², y(0) = 0.3, and y'(0) = -0.1 m/sec. What is the position of the mass after 1 second? Show all work.
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