Is the inelastic string like a pendulum with a decreased height after every single oscillation?
My idea is to find the height out by an equation of kinetic energy (KE) and potential energy (PE), as both kinds of energy are involved in the oscillation of a pendulum.
KE = PE
0,5m*v^2 = m*g*h
The conversion of this equation to the height leads to: h = v^2/2g
A sketch to it - if in existence - would be helpful.