Apple Cider - Center of Mass Optimization · Physics Brawl 2013 #FoL.11
Physics · mechanics
Problem
Consider a homogeneous cylinder with both pedestals of mass M = 100g and height H = 20cm. The cylinder is hanging in the air so its axis of symmetry is identical with the direction of the gravitational acceleration. At first, the cylinder is full of apple cider of mass m0=500g. Let's make a small hole in the bottom of the cylinder, so the cider runs out of it. Compute the height of the surface of the cider for the lowest position of the center of mass of the system. Give the result in cm.