题目
A van of mass is towing a trailer of mass along a straight horizontal road. The van and trailer are connected by a light rigid tow-bar which is parallel to the road. There are resistance forces of on the van and on the trailer. The driving force produced by the van’s engine is . The tension in the tow-bar is , and the acceleration of the van is .
Find the value of and the value of .
题目中文翻译
一辆质量为 的厢式货车拖着一辆质量为 的拖车,沿水平直路行驶。货车与拖车之间由一根平行于道路的轻质刚性拖杆连接。货车和拖车受到的阻力分别为 和 。货车发动机产生的驱动力为 。拖杆中的张力为 ,货车的加速度为 。
求 和 的值。
原卷通用作答要求
Answer all questions. You should use a calculator where appropriate.
You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.
请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程;仅给出计算器答案而没有过程,不予评分。除非题目另有精度要求,非精确数值答案保留 3 位有效数字,以度为单位的角度保留 1 位小数。
Where a numerical value for the acceleration due to gravity () is needed, use .
需要使用重力加速度 的数值时,取 。
解答
解法一
思路
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先对拖车单独求张力,再对货车求未知阻力。
答题过程
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Taking the direction of motion as positive, for the trailer,
For the van,
Thus