Changes

== Model ==

== Model ==

The cantilever system is best modeled by first considering the simplest version, a beam of uniform width and thickness

The cantilever system is best modeled by first considering the simplest version, a beam of uniform width, thickness, and height, fixed at one end and free at the other. It's possible to derive a fourth-order differential equation to describe the motion of this system by comparing the shear and torque on each heightwise section of the beam.

<math>E\frac{d^2}{dx^2}(WT^3\frac{d^2y}{dx^2})=-\rho W T \frac{d^2y}{dx^2}</math>

<math>E\frac{d^2}{dx^2}(WT^3\frac{d^2y}{dx^2})=-\rho W T \frac{d^2y}{dx^2}</math>