The lamp fell and broke (or, is broken) = Sutando ga taerete kowareta. It wasn't pushed it simply fell. Maybe it was placed along an edge.
The paper bag got wet and broke/tore. = Kami-bukuro ga nurete yabureta. Maybe it was left in the gutter to rot.
The eggshell broke and a chick came out. Tamago ga warete ....
The rope/guitar string broke in the middle. Tsuna/Gen wa mannaka de kireta. Any bright ideas for this phenomenon?