I was reading on rolly-polly dolls when the following questions crept into my mind
How exactly does center of gravity play a role which helps rolly-polly doll to stand up on its own?
Can a rolly-polly doll be made to stand on a slanting mountain surface so that it may lean forward but not fall down? (I mean roll down.).
If yes, how does the slant angle and weight of its base related?