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Условие Решение

EuPhO 2024 — Задача 1. T1: Sliding puck (10 pts)

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

Условие Решение

EuPhO 2024. KUTAISI. GEORGIA — Theoretical Problems. Language: English · 10 т.

Внимание: Бележка към темата

Solution transcribed from a mid-document window; its beginning (Solution 1 parts a,b and the problem statement) lies on earlier pages.

Условие

A puck (a small disc) with radius $r$ and uniform density is moving on a horizontal plane with the velocity $v_0$ without rotation. The puck meets a fixed half-circular wall with a radius $R \gg r$ and starts to move along the wall. The coefficient of friction with the wall is $\mu$ , and friction with the horizontal plane is negligible.

A half-circular wall of radius R opening to the right; the coefficient of friction μ is marked at the wall; a puck of radius r approaches with velocity v0 and exits with velocity ve.

a) Find the velocity of the puck $v_e$ when it leaves the wall. [8 т.]

b) Sketch the graph $v_e(\mu)$ . Indicate important features of the graph. You are encouraged to sketch the graph even if you haven't found the exact formula for $v_e$ . [2 т.]

Решение

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Оригинал в Архива: eupho2024_theory_problems.pdf · официални решения: eupho2024_theory_solutions.pdf