why is charge on conductor stable?

https://preview.redd.it/c56wt66qksmd1.png?width=1360&format=png&auto=webp&s=8f239974a7f06cf97f93022dd6db9bcce75d340d

https://preview.redd.it/6yx8jmfrksmd1.png?width=1360&format=png&auto=webp&s=86520e6021db59dd8f73557ea5df206ce67f88a5

Guys this was my question on physics stack exchange, but i got no answers please help
here is the link to the post :
https://physics.stackexchange.com/q/826742/372510