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Well a tennis ball is made from rubber so it is organic maybe. But I think it has more to do with the material - i.e. if something is naturally soft, like organics or rubber, then it will harden and shatter, but something that is already hard, like a printer, won't.
The material that printers are made of, hard plastic and metal, are molecularly denser than a tennis ball or an apple. So, when you freeze the less dense material, the less dense structure of the object will allow the bonds to break easier.
In general, materials have what are called "phase transitions" at various temperatures. What exactly happens at a phase transition depends on the material.
Water is easy: solid, liquid, gas
Carbon dioxide: solid, gas (liquid only if it is pressurized)
Something like rubber and plastic is maybe more complicated. I suppose that something becoming brittle at cold temperatures is analogous to freezing but I think there are differences. To make matters worse, "rubber" can mean a zillion things these days. Most things called "rubber" are some form of synthetic.
For some light reading, do a Google using "material properties of polymers"
I thought things could only shatter if they were natural (like fruit, vegetables, meats?, leaves, etc).
There's nothing inherently different there between "natural" and "un-natural" objects......you should be looking at material properties. Specifically whether it becomes fragile when it's cold. Rubber? Probably...
There are some rubber trees that has sap that is usable "rubber." That (latex) is then processed into what we use - I would think that what comes out (condoms?) after processing would be less resistant to the effects of the liquid nitrogen.