Uploaded July 2026 | Updated September 2026, 2 weeks ago
In this math lesson, we derive the elegant formula for the classic "Moving Stick Problem" (also known as the pipe or ladder problem). We explore the maximum length a stick can be to successfully turn a corner in a hallway with widths A and B, assuming it's held horizontally. Whatโs fascinating is that while we're looking for the longest possible stick, the math actually requires us to find the minimum of a specific length function. We'll use trigonometry, derivatives, and some algebraic simplification to arrive at a "super version" of the Pythagorean theorem.
๐ Shop my math t-shirts & hoodies: ๐ amzn.to/3qBeuw6
๐ Support this channel and get more content patreon.com/blackpenredpen
#blackpenredpen #calculus
In this math lesson, we derive the elegant formula for the classic "Moving Stick Problem" (also known as the pipe or ladder problem). We explore the maximum length a stick can be to successfully turn a corner in a hallway with widths A and B, assuming it's held horizontally. Whatโs fascinating is that while we're looking for the longest possible stick, the math actually requires us to find the minimum of a specific length function. We'll use trigonometry, derivatives, and some algebraic simplification to arrive at a "super version" of the Pythagorean theorem.
๐ Shop my math t-shirts & hoodies: ๐ amzn.to/3qBeuw6
๐ Support this channel and get more content patreon.com/blackpenredpen
#blackpenredpen #calculus
