First derivation of the theory of the physical pendulum
Famous theorem aureum
This volume on mechanics of rigid and elastic bodies contains early papers concerning geometric statics, accompanied by works dealing with the motion of compound pendula and the deformation of beams. The papers on mechanics in this volume do not encompass the area of hydraulics, which occupies approximately one half of the papers dealing with mechanical problems and which are included in volume 7. This collection constitutes, roughly, one eighth of the entire work written by Bernoulli.
Differential statics.- Dynamics.- Various mechanical and dynamical propositions.- Problems concerning rigid triangular wedges.- Criticism of de la Hire’s analysis.- Central forces.- The living forces.- Bernoulli’s notion of living forces and applications.- Manuscripts on mechanics.- Elasticity.- Problems concerning strings.- Vibrating strings.- Further solutions to the equations of the catenary.- A solution for the Elastica.- Multiple pendula.- Manuscripts on elasticity.