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Default Optimal length of lag screws

I have a wooden cart on casters on which I will have a generator. Its
weight is 1,400 lbs, and the weight of the entire stucture would be
1,600 lbs. This cart may one day be winched into a trailer on
ramps.

To the front of the cart, I want to attach a lifting eye. It is a big
lifting eye with the threaded stem removed, and welded to a 1/4"
plate, which would be attached to the cart by means of four 5/16" lag
screws.

My question is, what is the optimal length of these lag screws. The
wood is regular soft wood. I assume that beyond some length, the extra
grip given by extra length is meaningless.

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