Leaning tower

Classical Mechanics Level 2

On the edge of a wall, you build a brick tower that only holds because of the bricks' own weight. Your goal is to build a stable tower whose overhang $d$ is greater than the length $l$ of a single brick. What is the minimum number of bricks you need?

Note: Each brick has the same mass $m$ and uniform density. There is only one brick per layer. No gluing is allowed.

Bonus Question: If enough bricks are available, can any desired value of the overhang be achieved? If so, how can the number of bricks required be estimated?

2 bricks 3 bricks 4 bricks 5 bricks 6 bricks It's impossible without gluing the bricks together

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