骰子中灌铅对掷骰子结果的影响

THE EFFECT ON DICE THROWING RESULTS OF A DICE FILLED WITH LEAD

骰子是一种常用的赌博工具,骰子灌铅后,重心可能偏离其几何中心.将骰子视为刚体,将掷骰子过程看作刚体自由下落然后与桌面碰撞的刚体动力学过程.本文计算出重心偏离的骰子下落后,各个面向下的概率.

Dice is a commonly used tool for gambling. The gravitational center of a dice may deviate its geometrical center, if the dice is filled with lead. The dice can be treated as a rigid body, and the process of dice throwing can be described as the dynamics of a free body falling down and bounce back off the table. For a dice filled with lead, we calculate the probability of its downward side on the table.