Today's diagram is a special one.
Unlike most of my recent posts, this wasn't generated by AI. It was drawn by hand on my whiteboard during this morning's lesson on pulleys, and I'd like to share it with you.
To be honest, I'm not much of an artist. But the whiteboard has always been a place where my thoughts come alive. The messy lines, the arrows, the equations, the crossed-out attempts... that's where a lot of my teaching emotions live.
Can you see them too? 😄
As we worked through the problem, step by step, my students and I slowly uncovered the acceleration a. But the real lesson wasn't the final answer.
The real lesson was learning how to think.
First, we separated the system into smaller parts and drew the forces acting on each object.
Then, we built equations for each part.
Finally, we connected the equations together and solved them.
That's exactly how physicists, engineers, mathematicians, and problem-solvers have been tackling difficult problems for centuries.
👉 Break it apart.
👉 Understand each piece.
👉 Connect everything together.
That's the hidden beauty behind pulley questions.
The funny thing? Some students were busy copying my handwriting and diagram style perfectly. Meanwhile, I was secretly hoping they would notice the beauty of the thinking process behind it. 😆
After all, the equations will be forgotten someday.
Learning how to think is the part that stays.




