This tip alone can save numerous failures. Now I have seen them just laying in units. Verify all the connections are tight. This applies here too. I like to give each wire a little tug at the base of the connection to verify this. A air conditioning system with a hard start installed on it has more starting torque. If the your spade connectors are loose, pull them off, pinch them down just a little with your crimp ers and reconnect them.
They give you a mounting ring right at the top.
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The Black wire will be connected to the Common side of the compressor. Check to see that the Common "C" terminal of the compressor also connects to T1. In most cases you will find a Black wire coming from the Common "C" terminal of the compressor. The mounting of the hard start. They give you a mounting ring right at the top. Remember compressors rarely die they are kill!