Euler Buckling Load of Spaghetti: Length & Diameter Impact

[pisiks]

Homework Statement

A piece of spaghetti 5 cm in length and 2mm in diameter has a weight of 0.2 gms. It will break under tension at a load of 5 kg (force). And its Euler buckling load is 500 gms (force). What length of the spaghetti could be suspended vertically from one end before it broke under its own weight?

What if the diameter were 4mm?

Homework Equations

EI(d2y / dx2) + Py = 0.

 

[PhanthomJay]

Have you made an attempt at a solution? Note that buckling criteria applies to members subject to compressive stresses. Is the hanging spaghetti subject to tension forces and/or compression forces?