- #1
Slightly
- 29
- 0
Homework Statement
The terminal speed of a freely falling object is v_t (assume a linear form of air resistance). When the object is suspended by a spring, the spring stretches by an amount a. Find the formula of the frequency of oscillation in terms of g, v_t, and a.
Homework Equations
the linearly damped force = -cx'
The Attempt at a Solution
I started by writing the equation,
x'' + cx'/m + kx/m - mg = 0
Is this the correct way to start the problem and where would I go to next? I know that undamped frequency is equal to sqrt(k/m) but I'm not sure what to do with the equation. I'm stuck!