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A massless spring of spring constant 395 N/m is submerged in a viscous fluid wit damping constant b = 19 kg/s. A 4.8-kg block is attached to the spring, stretched 0.650 meters, and released from rest. The mass then begins to oscillate harmonically with a resistive force proportional to the speed of the mass. a. Write the position function for this motion with values for A, w', and y. b. Calculate the time when the amplitude is 60% of its maximum value. c. Is this an example of a critically damped, overdamped, or underdamped system Explain.

A massless spring of spring constant 395 N/m is submerged in a viscous fluid wit damping constant b = 19 kg/s. A 4.8-kg block is attached to the spring, stretched 0.650 meters, and released from rest. The mass then begins to oscillate harmonically with a resistive force proportional to the speed of the mass. a. Write the position function for this motion with values for A, w', and y. b. Calculate the time when the amplitude is 60% of its maximum value. c. Is this an example of a critically damped, overdamped, or underdamped system Explain.

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A massless spring of spring constant 395 N/m is submerged in a viscous fluid with damping constant b = 19 kg/s. A 4.8-kg block is attached to the spring, stretched 0.650 meters, and released from rest. The mass then begins to oscillate harmonically with a resistive force proportional to the speed of the mass. a. Write the position function for this motion with values for A, c', and y. b. Calculate the time when the amplitude is 60% of its maximum value. c. Is this an example of a critically damped, overdamped, or underdamped system? Explain.
Transcribed Image Text:A massless spring of spring constant 395 N/m is submerged in a viscous fluid with damping constant b = 19 kg/s. A 4.8-kg block is attached to the spring, stretched 0.650 meters, and released from rest. The mass then begins to oscillate harmonically with a resistive force proportional to the speed of the mass. a. Write the position function for this motion with values for A, c', and y. b. Calculate the time when the amplitude is 60% of its maximum value. c. Is this an example of a critically damped, overdamped, or underdamped system? Explain.
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