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Not enough info given to give a appropriate solution. What is the span of the 2x6 ceiling joists?Is there any existing load above?
We need more information, what is the overall span of the 2 x 6 joist, how is the joist fastened to the rafter above and at what spacing are the joists and rafters connected.
Where's that picture of Mr. N and the garden tractor when you need it..
A 2 x 6 spanning 14 feet will support little more than itself and the ceiling it was designed to carry. When you tie the joist to the rafter you are not really reducing the span in half but you are creating a truss provided the connections you use to the tie are adequate. Regardless a point load of 500 lbs from the bottom chord of a 2x6 is not safe and if the 2 x 6 has knot or similar anomaly the bottom chord will fail.You need to reinforce the 2 x 6 joist or better yet I would add 2 - 2x8 joists, nailed together, in two locations four feet apart and then bridge these double joists with 2 - 2x6 as the main carrying member. I don't have my wood framing span charts with me and I no longer do much design in wood but I have been at this for 36 years and you don't mess with heavy things suspended from wood.
Somehow, I think an engine hoist is cheaper and an easier solution and IIRC it's "come-along".
Just curious. It is evident you know what you're talking about. What do you think about the way I'm doing it? (See my post above.) Should I consider additional support? I have been using this for a long time, but if I'm tempting fate, I'm certainly willing to beef things up.John Henry