My Book Mac - light on, no love

I have a similar problem.  When I try to read the disk, it gives me the prompt…“Initialize…” (scared to press that one), “Ignore” or “cancel”

I have tried on two different Mac’s…same error.  I am afraid to go any further.  Any ideas?  

The drive turns on and the bottom power button is lit.  No other lights.  What to do?