@thelivingroom gave an excellent explanation.
Basically, pin 2 is the wiper, so if you clip or disconnect that, you are left simply with a fixed resistor of 5k ohms or whatever total resistance of the trimmer you chose to use. Instead, you essentially want to create a rheostat with pins 1 and 2 in order to dial in the amount of resistance desired. You could leave pin 3 disconnected, but it is generally better practice to tie 2 & 3 together in this scenario. Because I'm a visual person, I've taken the liberty of sketching the connections that thelivingroom already described.
FWIW, I've now built a unit using a 1k resistor for R0 based on Herbert's feedback and found that it achieved a very accurate result. I'd suggest pre-trimming to 1k, you might find that you don't even need to adjust it.
Basically, pin 2 is the wiper, so if you clip or disconnect that, you are left simply with a fixed resistor of 5k ohms or whatever total resistance of the trimmer you chose to use. Instead, you essentially want to create a rheostat with pins 1 and 2 in order to dial in the amount of resistance desired. You could leave pin 3 disconnected, but it is generally better practice to tie 2 & 3 together in this scenario. Because I'm a visual person, I've taken the liberty of sketching the connections that thelivingroom already described.
FWIW, I've now built a unit using a 1k resistor for R0 based on Herbert's feedback and found that it achieved a very accurate result. I'd suggest pre-trimming to 1k, you might find that you don't even need to adjust it.