I’ve never had to adjust my weighting to account for pony. I sling a 40 when single tank diving.
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I recommend mounting the tank instead of slinging it to beginners, this way the least amount of things change. I'm not arguing the benefits of a slung bottle but rather the benefit of progression, it is pretty unlikely a hand off is a good idea for beginners in an emergency situation, staying together should be advised, mounted tank ensures this .
If you have an air integrated computer, you can run a gauge off your pony to your left d ring, so you can check on it, makes a pretty clean setup.
Center of gravity is not the correct term in relation to this discussion, its called a moment and will not be enough difference to make it a consideration, this is easily offset with a little lead. If the addition of a pony induces a sever roll, you have a weighting issue you should address.
The most important thing is to make sure that it does not interfere with your BCD, if it doesn't let the bladder expand, this will cause a roll you can't fix, its also easily see by a dive buddy so should be on your setup checklist.
My recommendation, mount it to your tank, get a 5 foot hose on your primary, and short on the pony with necklace, play with that for a while, it should be an easy transition and be a nice comfortable way to assist another diver in need with minimal workload.
Are these "whips" as simple to operate as they appear? Would there be any safety concerns with attempting to refill the pony from a full-size tank at a dive site or on a boat?
If the addition of a pony induces a sever roll, you have a weighting issue you should address.
@sonofzell, here's something else to consider. One of our members here was pretty vocal about not liking pony tanks. His concern (and I agree) is that if your main reg has your primary plus an octopus, then you add a pony, you now have two alternate second stages and that could generate confusion in an unexpected emergency. If you're going to go the pony route, it's better to take off your octopus and practice using the pony reg as your alternate. Of course doing so means you need to carry the pony on every dive or be prepared to add your octo back on dives where you aren't carrying it.