Tipping point

Classical Mechanics Level 4

A right prism that has an equilateral triangular base with length \(a=50cm\) is placed in a horizontal slit between two tables, so that one of the side faces is vertical. How small can the width \(d\) of the slit be made in \( meters\) before the prism falls out of the slit.

There is no friction between the prism and the tables and the prism is made of a homogeneous material.

The edges of the slit are parallel

This was a past IPHO problem.


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