力学与实践 ›› 2003, Vol. 25 ›› Issue (3): 0-0.DOI: 10.6052/1000-0992-2002-192

• 应用研究 •    

骰子中灌铅对掷骰子结果的影响

施卫平 耿爱芳   

  1. 长春市吉林大学数学科学院 130012 shiwp@public.cc.jl.cn 长春理工大学
  • 收稿日期:2002-05-24 修回日期:1900-01-01 出版日期:2003-06-10 发布日期:2003-06-10

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

  • Received:2002-05-24 Revised:1900-01-01 Online:2003-06-10 Published:2003-06-10

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.

关键词: 骰子, 刚体, 重心

Abstract: 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.

Key words: dice, rigid body, gravitational center