1. You are craving mango shake. You have raw mango, raw milk and sugar.
2. You slice up the mango in smaller pieces so that it's easier for the mixer to do it's job.
3. You put that in the mixer container and pour in the milk and the sugar as required.
4. You close the lid and attach the container to the mixer main body. You turn on the switch.
5. The electrical energy carried by the AC current from "mains" is converted into mechnaical energy of the mixer blades by the mixer motor. The blades soon attain a stable speed depending on the speed configuration that you can set with something like a knob.
6. The blades are pivoted, and as they rotate they cause the ingredients directly in contact with them to rotate due to friction. That rotation motion is passed on to all the ingredients which are in contact due to gravity and molecular forces.
7. All the ingredients start rotating, and experience a centrifugal force which forces them to move to the extremes of the container since there's no opposing force. This causes a vaccum of sorts in the middle cylindrical region of the container.
8. The vaccum results in a differential air pressure, which causes air to try to rush into the middle, resulting in a previously non-existent force in opposition to the centrifugal force. If an ingredient is not tightly bound, part of it might break off and fly into the middle.
9. So the mango breaks into tiny pieces, small enough to mix into the milk and seem like a homogenous mixture. Same thing probably happens with sugar. If you put in another "more solid" ingredients like rolled oats, they'll break into smaller pieces but not neccessarily small enough to mix with milk and will probably settle at the bottom once the mixer is stopped.
10. And your mango milk shake is ready!