Classical Dynamics of Particles and Systems · Problem 6-8

Hamilton's Principle—Lagrangian and Hamiltonian Dynamics — Marion & Thornton

Physics — Mechanics · lagrange-multipliers-parallelepiped-volume

Problem

Find the dimensions of the parallelepiped of maximum volume circumscribed by (a) a sphere of radius

R

; (b) an ellipsoid with semiaxes

a

b

c