If we go down the woodworking analogy path, I guess the main difference between a library and a framework is that the former is a set of transformative actions and the latter is a set of building primitives.

A really great analogy wood be a wooden window. A router/planer/saw in a workshop are libraries: they can take a piece of timber and transform that piece in a certain, somewhat adjustable way. A set of standard hinges/locks/mounts and router/drill sizes is a framework.