So, you've purchased a BlackMagic Studio camera, the matching Zoom and Focus demands, and Panasonic 14-42mm and 45 -175mm lenses with power zoom.

Of course, the projects that you are working on would be best with a zoom range covering the gap between the two lenses.

Olympus makes a 14-150mm lens, but it doesn't have power zoom to work with the BlackMagic zoom demand.

You have JVC zoom and focus controls from the old SD cameras you used to own....can they be made to work?

Yes, they can. This project will outline what you need to know. 

Also, if you are trying to home-brew a PTZ setup with BlackMagic cameras, a lot of the same information will give you more lens options.

The key to controlling lenses lies in GT2 timing belts....belts with a 2mm pitch. The grip pattern on Panasonic lenses is already 2mm pitch, how can we get a similar pattern on an Olympus lens? You get it by turning a second timing belt inside out! The circumference of the zoom and focus wheels on an Olympus M.Zuiko Digital ED 14-150mm Lens is 202 millimeters, or 101 teeth. This will fit on the outside of the lens with a nice slip fit. The ability to slip a little is a good thing as will be explained below. A 101 tooth, 9mm wide belt is available from Misumi at http://us.misumi-ec.com...part number GBN2022GT-90 . You will need 2 - 1 for focus, 1 for zoom.

Once you have a 2mm pitch surface on the outside of the lens to drive, we can turn our attention to drive options. Let's start with the JVC focus control that we've found gathering dust on the back shelf of the storeroom. The end of the drive cable has a threaded collar and the end of the drive rod sticking out. We just need a short adapter tube to connect to the end of the drive cable and align with the axle of a drive sprocket. The internal thread of the collar is 12mm-.75. Amazon has a die for this thread for $7.99. Brass rod from McMaster-Carr works well for the body of an adapter tube. 12mm brass rod from McMaster-Carr is really expensive, with the only option listed being 1 meter of rod for over $70,...-but...15/32" rod (11.9mm) is available for $19.49 for a 6 inch length or $25.98 for 12 inches....much better. I used a drill press to cut a 2-inch length of brass rod by chucking the rod in the drill press, raising the table up so that the length I wanted was poking though the table, turning on the press and using a hack saw blade laying flat on the table to cut the rod.....made an nice flat cut across the rod. Then drilled a 1/4" hole through the center of the rod. Putting the cut-off length in the drill press chuck, and laying the die flat on the table allowed for a straight start to threading the outside of the brass rod (turning the drill press by hand, not with power!)

A right angle bevel gear assembly and a GT2 sprocket were ordered from Ali express. 

The 5mm to 5mm version of this:https://www.aliexpress.us/item/3256808121856135.html?spm=a2g0o.order_list.order_list_main.5.1ab01802Pz3iE0&gatewayAdapt=glo2usa

and the 16 tooth, 5mm bore version of this: https://www.aliexpress.us/item/3256802594636143.html?spm=a2g0o.order_list.order_list_main.11.1ab01802Pz3iE0&gatewayAdapt=glo2usa

15 mm steel rods were ordered from McMaster-Carr to fit in the BlackMagic camera bracket, and a mounting block was mocked up out of wood to slip over one of them. A 15 mm drill bit was ordered from McMaster-Carr at the same time. If I were sticking with wood, I would have ordered a 15mm forstner or a brad-point bit from Amazon instead, but there are aluminum blocks on the way from Ebay for version 2. Connecting the sprocket to the lens is a 6mm wide belt - Misumi part number GBN2662GT-60....again you want 2, 1 for focus, 1 for zoom.

A dremel tool with a cut-off blade was used to cut one rod of the right-angle drive to the right length, and then cut a slot in the end to mate with the drive rod of the focus control.