The figure depicts Jack-in-the-box: "Jack" is attached inside a box by a spring, as shown. You estimate Jack's mass to be 0.6 kg. As so often happens, a sign tells you the spring constant: k = 177 N/m. The Jack-in-the- box is immersed in a fluid. The fluid offers a resistive force F=-bu, which damps the oscillation. Under the influence of this damping, you observe the period of the oscillation to be 0.5 s. www (a) Without damping, do you expect the period of the oscillation to be greater than, equal to, or less than the observed period (with damping)? Explain your answer in words and then calculate the period without damping. 0.366 0.366 HOLLOWAY (b) Determine the value of the damping constant, b. kg/s (c) After one full oscillation, by what percentage does the amplitude decrease?

The figure depicts Jack-in-the-box: "Jack" is attached inside a box by a spring, as shown. You estimate Jack's mass to be 0.6 kg. As so often happens, a sign tells you the spring constant: k = 177 N/m. The Jack-in-the- box is immersed in a fluid. The fluid offers a resistive force F=-bu, which damps the oscillation. Under the influence of this damping, you observe the period of the oscillation to be 0.5 s. www (a) Without damping, do you expect the period of the oscillation to be greater than, equal to, or less than the observed period (with damping)? Explain your answer in words and then calculate the period without damping. 0.366 0.366 HOLLOWAY (b) Determine the value of the damping constant, b. kg/s (c) After one full oscillation, by what percentage does the amplitude decrease?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 45PQ

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