Is there a 12v relay that turns one thing on whenever power is lost to another thing? like not manually but..?

not manually, but a way to have one circuit start when the timer on the other circuit runs out and cuts the power..... please be very specific...parts would be helpful. this is the relay i will be using for timer http://www.hobbyengineering.com/H1991.html here are more details...but the simple question is... show more not manually, but a way to have one circuit start when the timer on the other circuit runs out and cuts the power..... please be very specific...parts would be helpful. this is the relay i will be using for timer

http://www.hobbyengineering.com/H1991.html

here are more details...but the simple question is where to find a relay that turns on when the other turns off... that isn't manual, but automatic.... thanks.... I know one of you genius people know how to do this!!!!!
i will be moving linear actuators (robotic arms) and i need one to start moving once power is lost to the other other one (or when the time runs out that is).... so timer runs out on one, and the timer on the other one starts..... and then when time runs out on that second one...i need the "on delay" timer to start for the reverse process to begin......
Update: when you say "use the normally closed contacts" what are the closed contacts?
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