Leaning stack: where is the center of mass

Two stacks of books: one with a careful overhang and one with too much. One stands, the other falls — the center of mass decides.

2D Age 8+10 min StabilityLevers & balance
Leaning stack: where is the center of mass
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Press “Run”. Bodies move by the laws of physics: gravity, friction, elasticity.

What the experiment shows

The left stack is shifted by 1/2, 1/4, 1/6 of the length — it holds. The right one is shifted by 3/4 each — the center of mass leaves its support.

How to run it

  1. Press “Run” and see which stack stands.
  2. In the editor shift the top block of the left stack a bit more — it falls.

Questions to discuss

  • What is the maximum overhang of two blocks?
  • Why is stability tied to the position of the center of mass?

The science

A body stands while the vertical line through its center of mass falls inside its support. For a stack, look at the center of mass of all upper blocks relative to the edge of the block below.

Try it at home

Stack books or dominoes, sliding each by a smaller step, and find the maximum overhang.

What to change in the editor

  • Add a block to the left stack.