Have a Hampton Bay 3 speed Carousel II (childs fan). Not on a remote. Lights work fine.

Fan quit working recently. When turned on (pull chain) you can feel/hear slight hum but the blades just don't want to run and it seems hot to the touch. It turns freely by hand.

Anyone have any ideas? All help is appreciated.

I would guess capacitor or speed switch. Try the Sticky under Electrical and lighting. Then check Ceiling Fan info.

It definitely sounds like a bad capacitor.

Ceiling fan capactors - troubleshooting and resources - Ceiling Fans N More

But first, try these troubleshooting instructions, to eliminate anything else:

General ceiling fan troubleshooting and help FAQ- Ceiling Fans N More

BTW check the reverse switch to make sure it is firmly in position.