Natural frequency, damping ratio and steady state amplitude help needed

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SUMMARY

The discussion focuses on calculating the natural frequency, damping ratio, and steady state amplitude of a mass-spring-damper system with a mass of 3.0 kg, a static deflection of 60 mm, and a viscous damping coefficient of 36 N s/m. The natural frequency is determined in both Hz and rad/s, while the damping ratio is calculated based on the system parameters. Additionally, the steady state amplitude is analyzed when subjected to a periodic force of 10 N at a frequency of 1.5 Hz.

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CovenK
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(1) A mass of 3.0 kg is suspended from a vertical spring and produces a static deflection of 60 mm.
The system is also subjected to viscous damping of 36 N s/m.

Calculate the value of the:

(a) natural frequency
i. In Hz
ii. And rad/s

(b) damping ratio

(c) and what will be the steady state amplitude of the oscillations produced when the mass is acted on by a periodic force of amplitude 10 N and frequency 1.5 Hz?


I really don't know how to answer this question, and would appreciate any help if possible.
Many thanks in advance.
 
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Hi CovenK, welcome to physicsforums :) um, usually people are meant to have done some of the working for the problem before asking for help on the forum. What is it you are stuck on? Have you tried any equations? Maybe the best place to start is to look in the textbook for similar physical situations, and look up the physics words which are in the question.
 

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