Consider an underdamped mass spring system with mass m 1 kg spring constant k = 8 N/m, and damping coefficient, stretched past equilibrium by 1 m and released with an initial velocity of 0 m/s. N.S a=4 m ww Equilibrium Position (a) Write the solution of the initial value problem. x(t) = (b) Identify the pseudo-frequency. m Find the circular frequency if damping is removed. m (c) Determine the first time in seconds in which the mass returns to equilibrium position after being set in motion. (Round your answer to two decimal places.) to

Consider an underdamped mass spring system with mass m 1 kg spring constant k = 8 N/m, and damping coefficient, stretched past equilibrium by 1 m and released with an initial velocity of 0 m/s. N.S a=4 m ww Equilibrium Position (a) Write the solution of the initial value problem. x(t) = (b) Identify the pseudo-frequency. m Find the circular frequency if damping is removed. m (c) Determine the first time in seconds in which the mass returns to equilibrium position after being set in motion. (Round your answer to two decimal places.) to

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Consider an underdamped mass spring system with mass m = 1 kg spring constant k = 8 N/m, and damping coefficient,
stretched past equilibrium by 1 m and released with an initial velocity of 0 m/s.
N.S
a = 4
m
www.
Equilibrium
Position
(a) Write the solution of the initial value problem.
x(t) =
(b) Identify the pseudo-frequency.
Find the circular frequency if damping is removed.
m
N s
m
(c) Determine the first time in seconds in which the mass returns to equilibrium position after being set in motion. (Round your
answer to two decimal places.)

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