Bat hitting a fair batted ball

[Guest Earnest]

What happens if the batter hits a little dinker that hits right in front of the plate and is very slowly rolling toward the pitcher. The batter starts to run to first and when he drops the bat, the butt of the bat rolls around and contacts the ball while it is in fair territory. Is it just nothing and play on? or is there some call that needs to be made here? I'm also wondering what would happen in the same situation where the butt of the bat contacts the ball and makes the ball roll into foul territory? 

[Gfoley4]

Any batter is out when: 

 

[Senor Azul]

2018 NFHS Case Book Play 2.5.1 Situation E:  The batter hits the ball, drops the bat and it unintentionally hits the ball a second time in (a) fair territory and is either touched by a fielder and/or comes to rest in fair territory; (b) foul territory and is either touched by a fielder and/or comes to rest in either fair or foul territory; or (c) fair territory and is either touched by a fielder and/or comes to rest in foul territory. Ruling:  In (a), the ball is fair. In (b) and (c), the ball is foul.