曾在一本竞赛书上见到这样一道竞赛试题: 伽利略曾设计了一种测定“王冠之谜”中王冠含金量的秤。如图:AB为秤杆,在正中O点支起,先在B端挂一纯金样品,A端砝码盘中放与样品等重的砝码,秤杆平衡了。当把金属浸没在水中时,砝码盘悬点向O移到x点,秤杆又平衡,记下x的位置;然后,将样品改成纯银 A competition test was once seen in a competition book: Galileo designed a scale that measures the gold content of the crown in the “crown mystery”. As shown in the figure, AB is the balance bar and it is erected at the midpoint O. First, a pure gold sample is hung on the B end, and the weight of the sample equal weight is placed on the A end weight plate and the balance bar is balanced. When the metal is immersed in the water, the hanging point of the weight plate is moved toward O to point x, the balance bar is balanced again, and the position of x is recorded; then, the sample is changed to sterling silver.