问题 问答题

如图所示,用细线通过轻网兜把质量为m的足球挂在光滑墙壁上(细线延长线通过足球球心).已知悬线与墙壁的夹角为θ,重力加速度为g,求:

(1)细线的拉力F的大小;

(2)足球对墙壁弹力FN的大小和方向.

答案

对足球受力分析如图所示,则由三力平衡条件可得:

细线的拉力  F=

mg
cosθ

墙壁对球的弹力    FN=mgtanθ,方向水平向左.

由牛顿第三定律可得球对墙壁的压力:F=FN=mgtanθ,方向水平向右.

答:(1)细线的拉力F的大小为

mg
cosθ

(2)足球对墙壁弹力FN的大小为mgtanθ,方向水平向右.

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