What is the Damping Coefficient in a Pendulum's Dampened Oscillation?

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The discussion focuses on calculating the damping coefficient for a pendulum experiencing damped oscillations. A pendulum of length 1.00 m, initially released at 15.0°, has its amplitude reduced to 5.5° after 1200 seconds due to friction. The relevant formula involves the relationship between the initial angular frequency and the damping coefficient, expressed as w = sqrt(W0^2 - (b/2m)^2). Participants clarify the correct approach and formulas needed for the calculation. The thread ultimately resolves the confusion regarding the appropriate formula to use for the problem.
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[SOLVED] Dampened Oscillations Problem

A pendulum of length 1.00 m is released from an initial angle of 15.0°. After 1200 s, its amplitude is reduced by friction to 5.5°. What is the value of b/2m?

How do you do this one? I know it has something to do with the formula w= sqrt(W0^2 - (b/2m)^2). I tried plugging in sqrt(g/L) for W0, but I don't know what to use for the first w.
 
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Never mind. It turns out I was using the wrong formula.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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