8. Suppose you are considering a spring-dashpot systemas a model to describe some process. The springbehavior can be described by Hooke's law, F = kx, wherex is a displacement, F is the force, and k is the springconstant. The Newtonian dashpot behavior is describedby F = uv, where v is the velocity, and u is the viscouscoefficient (not viscosity). You wish to determinethe characteristic frequency of the system. Usingdimensional analysis, find the dimensionless parametersgoverning this frequency.

Given : Spring -Dashpot system To find: Dimensionless parameters governing this frequency

Answered: Suppose you are considering a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A population numbers 13,000 organisms initially and grows by 16.2% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a · b' where P = Preview Get help: Video Video
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1. A spring mass system serving as a shock absorber under a car's suspension, supports the M 1000 kg mass of the car. For this shock absorber, k = 1 × 10°N /m and c = 2 × 10° N s/m. The car drives over a corrugated road with force %3| F = 2× 10° sin(@t) N . Use your notes to model the second order differential equation suited to this application. Simplify the equation with the coefficient of x'" as one. Solve x (the general solution) in terms of w using the complimentary and particular solution method. In determining the coefficients of your particular solution, it will be required that you assume w – 1z w or 1 – o z -w. Do not use Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w. You must indicate in your solution: 1. The simplified differential equation in terms of the displacement x you will be solving 2. The m equation and complimentary solution xe 3. The choice for the particular solution and the actual particular solution x,…
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