I use a tripod for all pictures I might take in a landscape. Sometimes it doesn't help if I'm having other issues, but most of the time I feel like I haven't really attempted properly if I don't have my tripod. Landscape stuff is the only time I use relatively slower films, like slides, or 100 speed, and use a polarizer or other filtration. So, I feel I have to use a tripod. And, I usually am using a pinhole, or a view camera when I do landscapes. Usually...
But, having said that, I loathe them. When I take pictures on strolls or of my kids, or much anything other than landscapes using med format or 35 mm, I use higher speed films and never bother with a tripod. I don't have a carbon fancy thing either. Also, without a tripod, I am not very steady, so I still get a lot of blurred photos if I'm pushing the limits with the shutter speeds.