The series [math]\sum_{k=1}^{\infty}{\frac{1}{k}[/math] is named [b]harmonic series[/b].[br]It is divergent.[br]

You can stack woods or books on top of each other so that they create a certain overhang.

[b]Task[/b][br]Illustrate the problem in the applet provided.[br]Increse the number of woods.

Hint[br]For the calculation of the barycenter, see also the teaching material [url=https://www.geogebra.org/m/dpv2rphf]Der Schwerpunkt[/url] (in German).

For the total overhang for the nth wood, this results in the sum of all individual overhangs[br][math]\sum_{k=1}^n\frac{1}{2k}=\frac{1}{2}\cdot \sum_{k=1}^n\frac{1}{k}[/math].[br]Since the harmonic sum diverges, this means that you can create an [b]overhang of any size[/b] with an appropriate number of woods.