IOM 2019, Блиц — Задача 29

OLYMPIAD OF METROPOLISES, Moscow, September 2, 2019 · 2 септември 2019 г.

Условие

A ball is attached to a string and moves along a circular path in a horizontal plane. The string makes an angle of $30^{\circ}$ to the vertical axis and has a 50 cm length. Then it starts to move faster and the angle increases. Determine the angle (in degrees) between the vertical axis and the string if it is turning at a frequency two times larger.

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. $g = 10\ \mathrm{m/s^2}$.

Решение

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Оригинал в Архива: blitz-en-all-task-final.pdf