Can you bring a hair straightener, hair dryer, nail clippers, etc. on an Amtrak train if in my carry-on?

I'm not sure about the difference in security between a train and a plane.Can you bring a hair straightener, hair dryer, nail clippers, etc. on an Amtrak train if in my carry-on?
Those are all legal on Amtrak. No guns, big knives, explosives, illegal drugs, or animals.Can you bring a hair straightener, hair dryer, nail clippers, etc. on an Amtrak train if in my carry-on?
They say there is security on the trains but there is zero security checkpoints. you can get away with pretty much anything on them. No worries unless it's really truly illegal. then you might get busted in a random search.