I'm using a Dell Latitude E6400 as follows:-

Ubuntu
Release 12.04 (precise) 32-bit
Kernel Linux 3.2.0-35-generic-pae
GNOME 3.4.2

Hardware
Memory:- 3.9 GiB
Processor :- Intel® Core™2 Duo CPU T9600 @ 2.80GHz × 2

Firefox :- 17.0.1 Mozilla Firefox for Ubuntu Canonical -1.0

Adobe Version 11,2,202,258 installed

Both 4OD and iPlayer work fine for me