IOM 2017, Блиц — Задача 55

OLYMPIAD OF METROPOLISES. Moscow, September 4 · 4 септември 2017 г.

Условие

A roller coaster car starts at rest at height $h$ above the ground and completes a loop along its path. Determine the minimum value of $h$ (in the units of loop radius $R$), in order for the car to remain on the track throughout the loop. Neglect friction.

The answer should be given in the SI units unless otherwise stated. If the numerical result turns out to be an integer, it should be given as the answer. Otherwise round the result to the first decimal.
$g = 10\ \mathrm{m/s^2}$.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: answers-blitz.pdf