Mud Flapping is when a guy challenges or questions another guy’s manhood based on the former not being capable of a feat that he himself has just proved himself unable to accomplish
Example:
MudFlapper: “Hey bro, you got a knife I could borrow?”
RealMan: “Sorry bro, I don’t have it on me.”
MF: “What?! A real man always carries a knife!”
RM: “YOU don’t have a knife idiot. Stop all your mud flapping and get out off my property.
The act of not wearing underwear, for females. Just as mud flaps behind the wheels of a truck flail wildly in the wind, a saggy vagina may mimic this flapping motion without the restriction of underwear. This is the alternative to "free balling" meant for female use only.
"Dude, it's my laundry day, so I'm mud-flappin' it today."