FYKOS Year 39 Series 1 Problem 4 — cake problems · FYKOS 39 #39.1.4

Physics · mechanics

Problem

A cake on Jarda's plate sometimes topples over to its other side. What is the work needed for such misfortune? Consider polar symetric cake of weight

M

and of radius

R

, its center of mass is located in height

h

; solve universally for its cutting to

n

same pieces.