barbell vs exercising weight

barbell and exercising weight both are nouns.

Word	Noun	Adjective	Verb	Adverb
barbell	Yes	No	No	No
exercising weight	Yes	No	No	No

As nouns, exercising weight is a hypernym of barbell; that is, exercising weight is a word with a broader meaning than barbell:

barbell: a bar to which heavy discs are attached at each end; used in weightlifting
exercising weight: sports equipment used in calisthenic exercises and weightlifting; it is not attached to anything and is raised and lowered by use of the hands and arms

Other hypernyms of barbell include free weight, weight.

barbell (noun)	exercising weight (noun)
a bar to which heavy discs are attached at each end; used in weightlifting	sports equipment used in calisthenic exercises and weightlifting; it is not attached to anything and is raised and lowered by use of the hands and arms