What happens if blaack doesn't take the rook and plays Rh7? Isn't that whinning?
yes well this is the cunundrum:-)
Nah it's a draw, black can't get at the h2 pawn
In case black play 3...Rh7 white simply play 4. Rxh7 then just go back and forth with his king on g1-f2, white is saved by fortress.
@Nordlandia 3...Rh6 4. Rf6 Bg6 looks winning for Black.
Edit: oh now I see: White plays 5. Kh1 to answer a king move with 6. Rxg6.
Caveatcanis is right. After 5.Kh1 Be4+ 6.Kg1 only repeats the position. Excellent study.