"Trapped" is a past participle (that is it is being used like an adjective despited being derived from a verb), so the word "rabbit" must be the subject (or the object) some other verb. Thus, in English a senteced containing "trapped rabbit" would need some other verb, something like "The trapped rabbit got scared" or "The hunter's dog stared at the trapped rabbit."
But in Japanese, as far as I'm aware, there is no past participle, or even adjectives for that matter. The Japanese language seems to also have a rather strict verb final construction. I have to be leave the language can't express something like "trapped rabbit" without some complex arrangement of words. I also can't expect that the Japanese language would position "trapped" at or near the end with some kind of link to a specific word, and I don't think Japanese can do that.
I found nothing satisfactory with browser searches and I don't know where else to search. The best I got was a very similar question on this site How to say "trapped" in Japanese
I didn't find the answers here very satifying.
So how does one say "The trapped rabbit got scared" and "The hunter's dog stared at the trapped rabbit" and can I get a grammatical breakdown of both sentences, and maybe express other examples that differ somehow and are probably needed for me to know.