What instrument belongs to the woodwind category

It's hard to answer this since you have no options, but here is a list of woodwind instruments. Maybe one of these are on your assignment.

Oboes, Clarinets, and Bassoons.  There is also the Piccolo, the Tin Whistle, Ocarina, and my very favorites - the Saxophone and the Flute.

They all have a wooden mouthpiece which is required before playing any of these instruments. Hope I could help!

Start with a good stem and on the top put a kinda wiggly line into a circle connecting to the stem then draw some squiggly lines in the circle that should be about 3-2 inches long