AC Blowing Warm Air

While out of town, the AC stopped pumping out cool air.  The fan was still working but just ambient air. When Mike opened up the unit, he discovered that the capacitor blew out.   After changing out the capacitor, now the condenser wasn't coming on. (The capacitor has three connections -- one for the fan and two for the condenser.

Now that the capacitor is replaced, the next thing we need to troubleshoot is the contact.