Answered: Spring (k) Damper (c) Mass (m)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Jen is working on a spring–mass–damper system, as shown. She remembers from her dynamic systems class that the damping ratio ? is a nondimensional property of such systems and that ? is a function of spring constant k, mass m, and damping coefficient c. Unfortunately, she does not recall the exact form of the equation for ? . However, she is taking a fluid mechanics class and decides to use her newly acquired knowledge about dimensional analysis to recall the form of the equation. Help Jen develop the equation for ? using the method of repeating variables, showing all of your work.

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