support vs aid

support and aid both are nouns.

Word	Noun	Adjective	Verb	Adverb
support	Yes	No	Yes	No
aid	Yes	No	Yes	No

As nouns, aid is a hypernym of support; that is, aid is a word with a broader meaning than support:

support: aiding the cause or policy or interests of
aid: the activity of contributing to the fulfillment of a need or furtherance of an effort or purpose

Other hypernyms of support include assist, assistance, help.

As verbs, aid is a hyponym of support; that is, aid is a word with a more specific, narrower meaning than support:

support (noun)	aid (noun)
aiding the cause or policy or interests of	the activity of contributing to the fulfillment of a need or furtherance of an effort or purpose
the act of bearing the weight of or strengthening	the work of providing treatment for or attending to someone or something
documentary validation	a person or thing that is a resource that helps make something easier or possible to do
a military operation (often involving new supplies of men and materiel) to strengthen a military force or aid in the performance of its mission	gift of money or other material help to support a person or cause
the activity of providing for or maintaining by supplying with money or necessities
any device that bears the weight of another thing
supporting structure that holds up or provides a foundation
something providing immaterial assistance to a person or cause or interest
a musical part (vocal or instrumental) that supports or provides background for other musical parts
the financial means whereby one lives
financial resources provided to make some project possible

support (verb)	aid (verb)
establish or strengthen as with new evidence or facts	improve the condition of
put up with something or somebody unpleasant	give help or assistance; be of service
adopt as a belief
argue or speak in defense of
be a regular customer or client of
be the physical support of; carry the weight of
play a subordinate role to (another performer)
support materially or financially
give moral or psychological support, aid, or courage to
be behind; approve of
support with evidence or authority or make more certain or confirm