骰子中灌铅对掷骰子结果的影响

摘要:

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.

Abstract:

Dice is a commonly used tool for gambling. Thegravitational center of a dice may deviate its geometrical center, ifthe 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 ofa free body falling down and bounce back off the table. For a dicefilled with lead, we calculate the probability of its downward side onthe table.