FYKOS Year 33 Series 5 Problem 2 — will it move? · FYKOS 33 #33.5.2
Physics · mechanics
Problem
Jachym wants to pickle cabbage at home, so he buys a cylindrical barrel. He carries it from the shop to the home using underground.
We can consider the barrel and its lid as a hollow cylinder with outer dimensions: radius r, height h and width of the walls,
the base, and the lid is t.
The barrel is made of a material with density ρ. What is the maximum acceleration that the underground can go with,
so the free standing barrel does not move in respect to the underground?
Coefficient of friction between underground's floor and the barrel is f.