Answered: PARTS A & B solve carefully and label…

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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PARTS A & B solve carefully and label each part and CIRCLE FINAL ANSWER ( Use image Below) Part A - Assuming the elements are all linear, determine a model for the mass-spring-damper system. Make sure to clearly define the direction of positive velocity. Simplify your answer such that the model is in terms of the parameters (?, ?, ??, ??), the input force (?), the spring deflection and the mass velocity as well as their time derivatives. Part B - Take the ANSWER from PART A and replace the damping constant ? with the nonlinear expression ? = ?? + ?? + ? , with ? as the velocity of the mass.

The following figure shows a mass-spring-damper system that will be used in the following
problems. The springs have an initial deflection of 0.05 m, and the mass has an initial
velocity of 10“. There is no friction.
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Expert Solution

Step 1

Mass displacement causes the spring force to be proportionate. The mass's velocity determines the viscous damping force. When a mass is deflected by a certain amount, both the spring and the damper are subjected to forces. Such systems can be solved using the conservation of energy principle.

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