Classical Mechanics (Kibble & Berkshire) · Problem 6.10
Orbits in a central field — T.W.B. Kibble, F.H. Berkshire
Physics — Mechanics · elastic-potential-energy
Problem
A catapult is made by connecting a light elastic cord of natural length 2a and strength α between two fixed supports, which are distance 2a apart. A stone of mass m is placed at the center of the cord, which is pulled back a distance 3a/4 and then released from rest. Find the speed with which the stone is projected by the catapult.