Here are some examples:
* Tearing up the paper
* Tearing through the forest
* Tearing at the seams
There are other suffixes you could add, but they're less common or would change the meaning of the word:
* -ful (tearful - full of tears)
* -less (tearless - without tears)
* -er (tearer - someone who tears)
It's important to consider the context and desired meaning when adding a suffix to a word.