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数学上有一个均值不等式:对于两个大于零的变量a、b,若其和a+b为一定值p,则当a=b时,其积ab取得最大值p2/4;对于三个大于零的变量a、b、c,若其和a+b+c为一定值q,则当a=b=c时,其积abc取得最大值q3/27.可以利用上述结论来解决常见的两个物理极值问题.问题1如图1,小球系在长L的水平细绳末端,绳的另一端固定于O点,从与O点在同一水平线上的A点自由释放运动
Mathematically, there is a mean inequality: for two variables a, b greater than zero, if the sum a + b is a certain value p, then for a = b, the product ab takes the maximum p2 / 4; for three greater than Zero a, b, c, if a + b + c is a certain value of q, then a = b = c, the product of its maximum abc obtained q3 / 27. You can use the above conclusion to solve the common two Problem 1 As shown in Figure 1, the ball system is at the end of a long string of horizontal L and the other end of the string is fixed at point O, releasing freely from point A on the same horizontal line as point O