What a burning smell from your dryer actually means
Your dryer runs hot on purpose. It pushes heated air through a spinning drum and out a vent. When that heat can't escape, or something is rubbing where it shouldn't, you smell it.
In most cases, a hot or burning smell comes down to airflow. Lint clogs the trap or the vent, heat backs up, and that trapped-dust smell fills the laundry room.
The other common source is friction. A worn drive belt or a tired motor heats up rubber and metal, and that smells different: hotter, sharper, more like burning rubber.
Here's the honest part. The smell is a warning, and it's a good one. Dryers that catch fire almost always give off a burning smell first. So the right move is to stop, unplug, and diagnose before you run another load.
The likely causes, ranked
Let the smell tell you where to look. A hot, dusty, lint-cooking smell means airflow. A hot-rubber smell means the belt. A sharp electrical or ozone smell means the motor or wiring.
Clogged lint is far and away the most common cause. It builds in the screen, in the housing below the screen, in the duct behind the dryer, and sometimes packed against the heating element behind the drum.
A slipping or worn belt is next. The belt wraps the drum and rides the motor pulley, and when it glazes or frays it heats up and smells. You'll often hear a squeal or thump with it.
Motor problems come after that. Worn bearings or a dragging blower wheel make the motor labor and overheat, and a failing motor usually smells before it dies for good.
Heating element and thermostat faults are less common but more serious, because a stuck safety switch lets the element run too long. And don't forget the simple one: something melted in the drum.