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微積分基本定理》 |
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範例 18:工人拉船 |
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碼頭上,有一個圓筒狀鐵柱,從船上拋出一根繩子,一端固定在船尾,另一端繞鐵柱三圈後由一工人拉著,假設工人施力10公斤,繩子與鐵柱的磨擦係數是1/3,請問船尾受力多大? |
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《 解答 》 |
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在繩子與鐵柱有 的接觸時,拉力 會提供 (接近 )的正壓力給鐵柱,所以有 ,積分得 ,其中 就是10公斤, ,而 ,所以 。 |
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About This
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