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绳拉船靠岸模型的两种情形下绳上任意一点的运动状况

Motion of any point on the rope in two cases of the rope pulled ship landing model
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摘要 较深入地计算分析了在绳拉船靠岸的过程中,在“拉绳速率一定”“船速一定”两种情形下,绳上任意一点的速度矢量、速率、最大速率、最小速率,并作出绳上任意一点在空间的轨迹图及其速率随绳子角度的变化图像,以及其他的相关配图.此外,还给出在一般的情形下绳上任意一点的速度矢量表达式,以及在三种情形下绳上任意一点的加速度矢量及其大小的表达式等,并加以分析. Conducts a more in-depth calculation and analysis of the velocity vector,speed,maximum speed,and minimum speed at any point on the rope during the process of pulling a boat to shore,under the conditions of“constant rope pulling speed”and“constant ship speed”,and draws a trajectory map of any point on the rope in space,as well as a graph of its speed changing with the rope angle,and other related diagrams.In addition,also provides the expression of the velocity vector at any point on the rope in general cases,as well as the expression of the acceleration vector and its magnitude at any point on the rope in three different cases,etc,and analyzes them.
作者 邵云 SHAO Yun(School of Electronic Engineering,Nanjing Xiaozhuang College,Nanjing 211171,China)
出处 《高师理科学刊》 2024年第4期81-87,共7页 Journal of Science of Teachers'College and University
关键词 绳拉船靠岸 绳上任意一点 速度矢量 速率 加速度 pull the boat ashore with rope any point on the rope velocity vector speed acceleration
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