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Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...
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一个关于时空动态的机器物理模型.

Shengkai Li1, Hussain N Gynai2, Steven W Tarr2

  • 1Department of Physics, Princeton University, Princeton, NJ, 08544, USA.

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概括

一种新型的机器人物理模拟器使用可变形膜上的轮式机器人,精确地模拟曲面相对论时空中的动态. 该系统准确地捕捉了活性物质在复杂,可变形的环境中如何移动,为广义相对论提供了低成本的见解.

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科学领域:

  • 物理 物理学 物理
  • 机器人技术 机器人技术 机器人技术
  • 一般相对论一般相对论.

背景情况:

  • 使用在弹性膜上滚动球的传统模型,由于消散和外部引力,难以准确地表示相对论动态.
  • 对于研究广义相对论和活性物质动力学而言,存在需要更准确和可控制的实验室模拟器.

研究的目的:

  • 开发一种机器物理模拟器,精确地捕捉曲面相对论时空中的动态.
  • 为了证明一个活跃的物体,一个轮式机器人,如何在可变形表面上模拟相对论运动.
  • 为在可变形环境中探索广义相对论和活性物质提供低成本的实验室系统.

主要方法:

  • 一个带轮的机器人被编程在一个松竹膜上移动,根据地形曲率改变其速度.
  • 机器人的动态系统地研究了辐射和轨道方向,以绘制它的轨迹.
  • 开发了一个框架,将机器人的新兴运动与曲时空中的运动相关联起来.

主要成果:

  • 活动机器人的动力学被证明可以准确地捕捉曲面时空中的相对论动力学.
  • 在机器人在膜上的轨迹和在可信的时空中的运动之间建立了映射.
  • 这项研究表明,活性粒子在信任空间时空中遵循地质谱,不一定在真实空间中.
  • 膜弹性和机器人速度等参数允许编程特定的时空,例如施瓦茨柴尔德度量.

结论:

  • 这种机器物理模拟器提供了一种精确且具有成本效益的方法,用于在实验室环境中研究广义相对论.
  • 该框架提供了关于活性物质在可变形环境中的行为和复杂景观中的机器人导航的见解.
  • 该系统允许创建和研究可编程的时空,增强我们对相对论物理学的理解.