Damped oscillations - Finding damping coefficient

AI Thread Summary
To find the damping coefficient b for a 50.0g hard-boiled egg oscillating on a spring with a force constant of 25.0 N/m, the amplitude decreases from 0.300m to 0.100m over 5.00 seconds. The relationship between amplitude and time is expressed as Amplitude = A e^(-bt/2m). By rearranging this equation and substituting the known values, the damping coefficient can be calculated. The discussion highlights the need for guidance on applying the formula correctly to solve for b. Understanding the exponential decay of amplitude in damped oscillations is crucial for solving this problem.
diffusion
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Homework Statement


A 50.0g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. It is released with an amplitude 0.300m. A damping force Fx = -bv acts on the egg. After it oscillates for 5.00s, the amplitude of the motion has decreased to 0.100m.
Calculate the magnitude of the damping coefficient b.

Homework Equations


render?tex=x+%3D+Ae%5E%7B-bt%2F2m%7D%5Ccos%7B%28%5Comega+%27t%2B%5Cphi+%29%7D.gif



The Attempt at a Solution


I honestly have no idea how to approach this question. Could someone steer me in the right direction?
 
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Anyone?
 
diffusion said:

Homework Equations


render?tex=x+%3D+Ae%5E%7B-bt%2F2m%7D%5Ccos%7B%28%5Comega+%27t%2B%5Cphi+%29%7D.gif

Note that the amplitude, at time t, is given by


Amplitude = A e-bt/2m
​
 

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