Explain the interaction between the four main components of earth's physical systems. be sure to include the name of each system and its primary function in your answer.

First, let's list the systems:

atmosphere - provides the air we breathe. the system of gases surrounding Earth

biosphere - the system of all living organisms on Earth

hydrosphere - the system of all water on Earth (including water vapour)

lithosphere - the system of physical parts of Earth, such as rocks. 

the four spheres interact with each other and overlap.
For example, since water makes up a huge part of the living things, it is very present in the biosphere. It also shapes the rocks - a lot of places in the lithosphere have the specific shape they have because they were shaped by the water. 
Athmospere also provides oxygen and carbon dioxide, which are necessary for the biosphere (oxygen for animals, carbon dioxide for plants)