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Function: require_once

수학동아 - 폴리매스
본문바로가기
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 캔의 중심
우럭 2021.02.04 04:44 조회 450

라임은 가로 a, 세로 2a인 콜라 캔에

콜라 액체를 내부 부피의 75%만큼 차지하게 채웠다.

이때, 콜라 캔의 단면을 직사각형으로 생각한다고 하자.

이를 바닥에 놓았을 때에 닿는 꼭짓점 중 오른쪽의 꼭짓점을 A라고 하고,

A로부터 수직 윗방향에 있는 꼭짓점의 O라고 하자.

이 때, 액체 자체의 무게 중심을 G라고 하면,

지면과 OA가 이루는 각의 크기가 90도에서 0도가 될 때 까지의 G의 자취의 길이를 구하여라.

[풀이 필수, 콜라 캔의 질량은 생각하지 않음]

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