Damped oscillations - Finding damping coefficient

diffusion · Apr 29, 2009

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

$Equation x = A e^(-b t/2m) cos(omega' t + phi) for a damped oscillator, with the exponential decay factor e^(-bt/2m) and the cosine term.$

The Attempt at a Solution

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

diffusion · Apr 29, 2009

Anyone?

Redbelly98 · Apr 30, 2009

diffusion said:

Homework Equations

$Equation x = Ae^(-bt/2m) cos(ω't + φ) for a damped oscillator, with the exponential envelope bounding the cosine motion.$

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

Amplitude = A e^-bt/2m

Damped oscillations - Finding damping coefficient

Homework Statement

Homework Equations

The Attempt at a Solution

Discussion

Homework Equations

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