Connectivity Problem – Computer connects on a switch but not in another

Hello. We have a strange situation with the network. We bought 2 new machines, they connect to the network without any problem when plugged in one switch, but don?t even send a package when connected to a different switch in the network. Weird thing is an old computer with the same IP and NAME does connect on that same place with the same cable. What can it be?
We work on a domain with static IP?s, switches are of different vendors and connected in cascade.