I am trying to find words (specifically physical objects) related to a single word. For example:
Tennis: tennis racket, tennis ball, tennis shoe
In the first case, you probably are looking for n-grams where n = 2. You can get them from places like Google or create your own from all of Wikipedia.
For more information, check out this related Stack Overflow question.
I think what you are asking for is a source of semantic relationships between concepts. For that, I can think of a number of ways to go:
[...]
Judging by what you say you want to do, I think the last two options are more likely to be successful. If the relationships are not in Wordnet then semantic similarity won't work and OpenCyc doesn't seem to know much about snooker other than the fact that it exists.
I think a combination of both n-grams and LSA (or something like it) would be a good idea. N-gram frequencies will find concepts tightly bound to your target concept (e.g. tennis ball) and LSA would find related concepts mentioned in the same sentence/document (e.g. net, serve). Also, if you are only interested in nouns, filtering your output to contain only nouns or noun phrases (by using a part-of-speech tagger) might improve results.