 #1
mattlfang
 28
 8
 Homework Statement

Given below system. We know the Hooke's constant of the spring is k. the mass of the box under the pulley is m. The mass of the pulley is M. The radius of the pulley is R. Radius of gyration is r
We release the system from the static state. When the spring is extended by L, what's the the velocity and acceleration of the pulley?
 Relevant Equations
 Radius of gyration, moment of inertia, conservation of energy
This looks like a classical setup but I can't find a solution. We can calculate the energy of the system by looking at the work done by the gravity and the spring. But how do we divide the energy between the kinetic energy of the pulley and the rotation of the pulley?