EuPhO 2025 — Задача 2. Floating table

Автор: Olympiads XYZ · транскрипция на официалните материали

Проверена срещу оригинала на 13.9.2026 от същия модел, който я е транскрибирал (без независима проверка)

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Съдържание

УсловиеРешение

Theoretical Problems. Language: English · 10 т.

Внимание: Бележка към темата

Only solutions pages 1–6 were available in this window; statements must be filled from the problems document.

Условие

A table is made by fastening a metal frame to a massive uniform plate (so they form a rigid body) and attaching it with chains to another frame that is fixed on the horizontal ground. The motion of the table is limited to the plane of the side view (right picture).

Left: 3D sketch of a grey tabletop plate on a blue metal frame hanging on chains from a blue base frame. Right: side view on a grid showing chain attachment dimensions a and a, the vector g pointing down, the fixed top frame and the hanging frame with chains.

a) Show that in the configuration on the side view, the table is in a stable equilibrium. [4 т.]

b) Find the period TT of the small oscillations. [6 т.]

Решение

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Оригинал в Архива: eupho2025_theory_problems.pdf · официални решения: eupho2025_theory_solutions.pdf