Calculating Damping Coefficient for Spring Length 36.3mm, Load Mass 0.036kg

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SUMMARY

The discussion focuses on calculating the damping coefficient for a spring with a free length of 36.3mm and a load mass of 0.036kg. The user aims to determine the damping ratio using the formula: damping ratio = c/2*sqrt(km), where 'c' represents the damping coefficient, 'k' is the spring constant, and 'm' is the mass. The user has angular frequency but lacks the damping coefficient, indicating a need for clarity in problem formulation to facilitate responses.

PREREQUISITES
  • Understanding of spring mechanics and damping systems
  • Familiarity with the formula for damping ratio
  • Knowledge of angular frequency and its application in oscillatory systems
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research how to calculate the spring constant 'k' for the given spring
  • Learn about methods to experimentally determine the damping coefficient 'c'
  • Explore the relationship between angular frequency and damping ratio in oscillatory systems
  • Study examples of similar damping ratio calculations in mechanical systems
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Students in mechanical engineering, physics enthusiasts, and anyone involved in the analysis of oscillatory systems and damping coefficients.

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Homework Statement



I want to find the damping coefficient of a spring of free length 36.3mm, with load mass of 0.036kg.



Homework Equations



i need the amplitude of this system, i have the angular frequency, but not the damping ratio. So i was trying to use the formula:

damping ratio = c/2*sqrt(km)

where k is the spring constant, m the mass of the system and c the damping coefficient. But i have no idea how to find this coefficient! help please!


The Attempt at a Solution

 
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You might have an easier time getting a response if you write a clearer problem statement; one that describes the entire problem, including all variables and given/known data.
 

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