- #1
Feodalherren
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Homework Statement
A rectangular cantilever beam of length L and side lengths b with negligible mass is attached horizontally to a wall. A mass m is attached to the end of the beam where a motor is also located. The motor applies a force on the end of the beam described by the equation P*sin(w*t).
Derive an expression for the vertical vibration of the mass m, that is, find x(t) for a stable solution.
Homework Equations
k = 3EI / L^3
I = b^4/12
The Attempt at a Solution
I'm at a loss here. I am unaware of any equation that describes the damping in a cantilever beam. I want to set up the problem as
x'' + c/m x' + k/m x = Psin(wt)/m
which is how I usually solve these types of problems. But I'm at a loss when it comes to finding out how to express c. Furthermore, when it says to find a stable solution, is it hinting towards harmonic motion?