Stop moving rigidbody but don't stop rotating

Is ther some way to make a rigidbody stop moving, but still rotate? I'm wanting to make something like a modern sledge and went you press a key the left or right rigidbody(the things that make the sledge rotate) stops moving but it rotates with the help of a fixed joint connected to the center part of the sledge. Is there some way to do this?

you can always stop the moving by setting rigidbody.velocity = Vector3.zero. Is that what you're looking for?