Clamped--free bending mode
= Clamped--free bending mode
= Clamped-free bending spectrum
{synonym}
The bending modes of a filament clamped at one end and force-free and torque-free at the other obey $\cos\alpha_n\cosh\alpha_n=-1$. The slowest mode has $\alpha_1\simeq1.875$.