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The experimental solution of the elevator problem
Physics Education Pub Date : 2021-01-30 , DOI: 10.1088/1361-6552/abd993
Ricardo Lopes Coelho

This paper combines the physics of the Atwood machine and the classic elevator problem. An Atwood machine equipped with accelerometers is used to determine the acceleration in the bodies’ frames. The product of this acceleration by the mass of the body gives us the weight of the body in that frame. The body that accelerates up weighs more than in the laboratory and the body that accelerates down weighs less. The elevator is then a particular case of this. The upward or downward accelerated motion of an elevator will have the same effect on the acceleration inside the elevator, as the acceleration of the bodies on an Atwood machine has on the accelerations in the bodies’ frames. The weight of a body inside the elevator is given by the product of mass and the inside acceleration, as the weight of the body in its own frame. As this acceleration is greater or smaller than the free fall acceleration in the laboratory, the body’s weight in an elevator will be greater or smaller than the weight in the laboratory.



中文翻译:

电梯问题的实验解决方案

本文结合了阿特伍德机的物理原理和经典的电梯问题。配备加速度计的Atwood机器用于确定车身框架中的加速度。这种加速度与身体质量的乘积为我们提供了该框架中身体的重量。加速下来的身体的重量比实验室要重,加速下来的身体的重量要轻。那么,电梯就是这种情况的特殊情况。电梯的向上或向下加速运动将对电梯内部的加速度产生相同的影响,就像Atwood机器上车身的加速度对车身框架中的加速度产生影响一样。电梯内部物体的重量是质量与内部加速度的乘积,即物体在其自身框架中的重量。

更新日期:2021-01-30
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