Identify these potentiometers or variable capacitors
They're IF transformers (T is for Transformer) used in radios (relatively narrowband amplifiers at the Intermediate Frequency of usually 10.7MHz for FM and 455kHz for AM). 

The ferrite core adjustment is for trimming the inductance to tune the center frequency, called "aligning" the radio. Below image from this datasheet. 



There are many variations and you need some equipment to properly align a radio, which does not bode well for your chances at success.