balance replacement

A handy person from new york says:
Hi
I have

double balance 0511 phote
length 31 3/4

single balance 0512
length 33

diameter - slightly bigger then 1/2 inch

also plastic piece is broken 0513
Thumbnail of the uploaded file named IMG_0513.jpg
Thumbnail of the uploaded file named IMG_0512.jpg
Thumbnail of the uploaded file named IMG_0511.jpg
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Casey from SWISCO responded:

Hello,

Take a look and compare the specifications of the 5/8" diameter S600 spiral balance with a red tip option to your original balances.

Unfortunately, I don't recognize the nylon parts shown in your first photo. Could you elaborate on its function and shoe us where it installs? Thank you! 

A handy person from new york says:
The plastic piece is where the balance was hooked in on the bottom.

I have 2 sets
31 3/4
And
33

Which should i get
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Casey from SWISCO responded:

I would recommend using the S600-32 to replace your 31-3/4" balances and the S600-33 for your 33" balances.

As for the small plastic pieces, it sounds like they may be broken pieces of a pivot shoe that the balance spiral would attach to in the window jamb. If so, we would need to see an undamaged shoe removed from one of your windows, as well as confirm the exact width and thickness, to compare to our selection here

A handy person from new york says:
Hi, I cannot remove undamaged shoe . I can measure window frame thickness.. will that help ?
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Casey from SWISCO responded:

Unfortunately, we won't be able to identify a suitable replacement without seeing an undamaged version of the part, as well as confirming the exact width and thickness. 

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