The laws of techumim [going out of your 2000 amos] applies not only to people but to everything. Animals and utensils have the same techum as there owners. If you give the animal to a shepherd or to your own son it still has the techum of it’s owner.

Brothers who inherited utensils that were not divided up yet, if one was using it, it has his techum. If no one specifically uses it, the techum must be the area that all the brothers can use.

Beitzah 5:4

If you borrow a utensil before Yom Tov, the techum of the utensil is the techum of the borrower. If you borrow the utensil on Yom Tov, the utensil has the techum of the owner.

A lady who borrowed spice water or salt from her friend on Yom Tov, the food has the techum of both people, meaning where both techums can go. R’ Yehuda says water is nullified in the dough and it’s techum is nullified.