Have can I have a different texture on parented objects? I'm new to Blender, just started  learning.

I'd like to know how to have different textures on parented objects.
I have this object parented with another object but when I apply image texture to one, the other is affected as well. I want two different textures applied separately to those two objects.

I have a peeling off effect on a flying shuriken. I wanna add origami paper texture to the object thats being peeled off, and metal texture to the shuriken.

thanks in advance!
Probably you have them sharing the same material. In this case, you have to duplicate it or create a new one and assign to change independently.