Question
A non-Hookian spring has force F=−kx2, where k is the spring constant and x is the displacement from its unstretched position. For the system shown, a mass m connected to an unstretched spring is initially at rest. If the distance up to which the spring extends before the system momentarily comes to rest is (pmgqk)12, then find (p+q). Assume that all surfaces as well as the pulley are frictionless.