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

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To calculate the damping coefficient for a spring with a free length of 36.3mm and a load mass of 0.036kg, the damping ratio formula c = 2 * sqrt(k * m) is used, where k is the spring constant. The user has the angular frequency but lacks the damping ratio and the spring constant. Clarifying the problem statement with all relevant variables and known data may facilitate better assistance. Finding the spring constant is essential to proceed with the calculation of the damping coefficient. Understanding these relationships is crucial for solving the problem effectively.
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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.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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