FYKOS Year 32 Series 6 Problem 5 — elastic cord swing · FYKOS 32 #32.6.5
Physics · mechanics
Problem
Matěj was bored by common swings, which are at playgrounds because you can swing on only forward and backwards. Therefore, he has invented his own amusement ride, which will move vertically. It will consist of an elastic cord of length l attached to two points separated by distance l in the same height. If he sits in the middle of the attached cord, it will stretch so that the middle will displace by a vertical distance h. Then, he pushes himself up and starts to swing. Find the frequency of small oscillations.