{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"frontierscience","formal_name":"FrontierScience","introduction":"専門的な科学課題を解く能力を評価するベンチマークです。公開データはolympiadとresearchに分かれ、競技問題と研究課題を区別して扱います。\n\nFrontierScience evaluates the ability to solve expert-level scientific tasks. Its public data separates olympiad and research problems so that competition and research tasks can be examined independently.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/openai/frontierscience","indexing_mode":"noindex"},"task_id":"68001468-57aa-510a-937b-6a4444e0f450","task_key":"olympiad--test--94c55a69~2d1e8d~2d4934~2dae59~2d2cf0401e1b01","task_revision_id":"1","upstream_id":"94c55a69-1e8d-4934-ae59-2cf0401e1b01","short_description":"A horizontal metal rod has density \\(\\rho\\), length \\(L\\), circular…","config":"olympiad","split":"test","body":"{\"problem\":\"A horizontal metal rod has density \\\\(\\\\rho\\\\), length \\\\(L\\\\), circular cross-section radius \\\\(r \\\\ll L\\\\), Young's modulus \\\\(Y \\\\gg \\\\rho g L^3 / r^2\\\\) in a gravitational field of strength \\\\(g\\\\). It is fixed at one end to a wall, which provides a constant vertical force and torque. Define coordinates as follows: \\\\(x\\\\) is the distance along the rod from the fixed end at the wall, and \\\\(y\\\\) is the vertical displacement from the fixed point, \\\\(y > 0\\\\) is upwards. Using suitable approximations, find the function \\\\(y(x)\\\\) which represents the rod's vertical displacement along it, expressed in terms of \\\\(\\\\rho, g, Y, r, x\\\\). Also give the angle, \\\\(\\\\alpha < 0\\\\), between the \\\\(x\\\\)-axis and the rod at \\\\(x=L\\\\), in terms of \\\\(\\\\rho, g, L, Y, r\\\\) as a single approximated fraction.\\n\\nThink step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.\",\"subject\":\"physics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/openai/frontierscience","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}