问题 问答题

如图表示的是一个在细绳的结点O上悬挂重物的装置,细绳AO和BO的A、B端都是固定的.平衡时AO是水平的,BO与竖直方向的夹角为θ.若已知重物的重力为mg,求:

(1)AO的拉力F1的大小;

(2)BO的拉力F2的大小.

答案

(1)对点O受力分析,受重力、两根绳子的拉力,如图

将两根绳子的拉力合成,合力与重力平衡,故

F12合=T=mg

F1=mgtanθ

(2)F2=

mg
cosθ

F2y=T=mg

F1=F2x=F2ytanθ=mgtanθ

F2=

F2y
cosθ
=
mg
cosθ

答:(1)AO的拉力F1的大小为mgtanθ;

(2)BO的拉力F2的大小为

mg
cosθ

完形填空
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