- #1
Chip90
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Homework Statement
A 100g mass is suspended on a rubber band with a k coefficient of 2.74 N/m. The original amplitude of the oscillations is 5cm and after 100 oscillations, the maximum speed of the weight is 0.13 m/s. Find the damping coefficient y.
Homework Equations
d2x/dt2 + γdx/dt ω02 x = 0, where γ is the damping constant
where the solution is x(t) = A exp(-γ/2t) cos(ω1 t + φ), where ω12 = ω02 -γ2/4 and A and φ depend on the initial conditions
f= 1/2pi * sqrt (m/k)
The Attempt at a Solution
I tried to use f= 1/2pi * sqrt(m/k) to find the undamped frequency to be 0.834 Hz. I then tried to use ω12 = ω02 -γ2/4 where wo is the undamped and w1 the the damped.
The problem is my teacher told me this was the wrong approach. Plus, I had no idea how to account for the 100 oscillations. I know that the Q factor is related somehow, but I am not sure how to use. Thanks!