Sure mate here is a quick overview.....
Tetracyclines work by inhibiting protein synthesis in bacteria. They do this by binding to the ribosomes (ribosomes produce protein) found in the bacteria.
Now if humans and bacteria had the same ribosomes we obviously wouldn't want to take tetracyclines, as we'd harm ourselves as much as the bacteria! Humans have 80S ribsomes, whilst bacteria have smaller 70S ribosomes. Tetracyclines can only bind to the bacterial 70S ribosomes, so leave us unaffected.
However there can still be a little inhibition of protein synthesis in human cells. This is because human mitochondria (these are like engines for the cells, they burn fuel) are a little different and have 70S ribosomes. Could be a bad thing you might think! However, there is no mechanism by which tetracyclines can actually get into the mitochondria. Bacteria actively transport tetracylines in from the outside world into their cell body. In fact those bacteria which can (over thousands of generations) lose the abilty to transport tetracylines, then become resistant to tetracyclines. This is how resisitant strains of bacteria can arise. Mitochondria are protected in the same way.
So inhibition of protein synthesis in humans is very low.
Hope that helps a bit.