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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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Question

(machine dynamic )

The mass(20 kg)-damper-spring system given in the figure on the right is under a harmonic force.
a- Obtain the equation of motion by making the necessary assumptions for this system.
b- Find and interpret the natural frequency, damping state (critical etc.), damping constant and damping degrees of the system using the values given in the table.
c- Compare the situation at t=5s and t=20s. What changes have occurred?

k (N/m)
c (kg/s)
F (N)
w (rad/s)
110
26
860
48

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