The PC +5vDC supply common is already at the same potential as AC common by virtue of the grounded neutral, (both grounded to the same point by default).
I connect all commons to grounds as a matter of practice.
If you want to test to make sure before grounding any supply, measure the voltage from the relative common to earth ground, you may see stray voltage with a sensitive VOM, so use ~ 1k resistor from common to ground and check the voltage again, if it has collapsed appreciably then it is considered safe to common up.
Al.
CNC, Mechatronics Integration and Custom Machine Design
“Logic will get you from A to B. Imagination will take you everywhere.”
Albert E.