FYKOS Year 27 Series 6 Problem 5 — toilet roll · FYKOS 27 #27.6.5
Physics · mechanics
Problem
We put a roll with paper into a bearing (without friction) and we let the paper unroll itself (we neglect the sticking of layers to eac other, friction in the bearing and the weight of the bearing). What is the angular velocity of the roll after all paper is removed? We know the radiusand mass of the roll, the longitudal density of paper, its overall mass and its length. Consider that the paper shall be able to unroll into an infinite pit.
Bonus: Now consider that the paper will fall to the ground before it all unrolls.