The spring-mass-damper system shown below has m1 = m2 = 3.4 kg and k = 97.7 N/m. In addition, a damping factor of 0.3 is given. The initial position and velocity of the system is x(t=0)=4.3 mm and x'(t=0)=0 m/s respectively. Frictionless pulley m2 Calculate the time required for the amplitude to reduce to 10% of the initial conditions.

The spring-mass-damper system shown below has m1 = m2 = 3.4 kg and k = 97.7 N/m. In addition, a damping factor of 0.3 is given. The initial position and velocity of the system is x(t=0)=4.3 mm and x'(t=0)=0 m/s respectively. Frictionless pulley m2 Calculate the time required for the amplitude to reduce to 10% of the initial conditions.

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

The spring-mass-damper system shown below has m1 = m2 = 3.4 kg and k = 97.7 N/m.
In addition, a damping factor of 0.3 is given. The initial position and velocity of the system is x(t=0)=4.3 mm and
x'(t=0)=0 m/s respectively.
Frictionless
pulley
m2
Calculate the time required for the amplitude to reduce to 10% of the initial conditions.

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