Balanced arm lamps are a type of lamp that you can move around easily so you can focus the light where you need it most. They work by using a system of springs and pivots to keep the lamp balanced in any position you put it in.
Imagine you're playing with a toy crane that has a long, bendy arm that you can move up and down and spin around. Now imagine that instead of a toy, it's a lamp that can give you light to read or do your homework with. That's basically what a balanced arm lamp is like.
The springs and pivots make it easy to move the arm around without it falling over or tipping the lamp shade too far in one direction. It's kind of like when you're playing with a toy and you have to balance it just right to keep it from falling over.
Balanced arm lamps are really useful because they let you position the light right where you need it. For example, if you're working at your desk and you need more light on your paper, you can swing the lamp over and shine it directly on the page. Or if you're reading in bed, you can adjust the arm so the light shines on your book without bothering anyone else who might be sleeping. It's all about finding the right balance to make sure you have enough light to do what you need to do.