[size=150][b]一、弹力的产生[br][/b][/size][br]力是物体的相互作用,在我们的生活中,最常见的相互作用就是两个物体相互接触后的挤压或者拉伸。[br][br]当两个物体接触并产生挤压或者拉伸后,会发生形变。[br][br]如果形变是能恢复的,称为[color=#980000]弹性形变[/color],比如橡皮筋、弹簧等;[br][br]如果形变不能恢复,称为[color=#980000]塑性形变[/color]或者范性形变,比如橡皮泥或者沙坑。[br][br]对于弹性形变的物体来说,被压迫或拉伸都会激起它的反抗,它会产生一个和压迫或者拉伸它的力大小相等的反方向的力,抵消那个力对它的影响,这个力我们称之为[color=#980000]弹力[/color]。[br][br]对于塑性形变的物体,一压迫或拉伸就随遇而安了,在哪里跌倒就在哪里躺下,不会产生弹力,我们现阶段一般不关心这种形变的作用。[br][br]弹性形变和塑性形变之间不是界限分明的,弹性形变只有形变在一定范围内才会变回去,如果形变过大,可能会造成不可逆的影响,也会变成塑性形变。这个形变最大值我们称之为[color=#980000]弹性限度[/color]。[br][br]有些物体产生的形变很明显,比如弹簧、橡皮筋、弓箭等,这种明显形变的物体产生的弹力的方向和大小都比较容易处理,我们后面再讨论。[br][br]而那种发生了形变,但是肉眼无法看出来的情况,弹力的大小和方向都需要用其他条件来判断。
[b][size=150]二、微小形变产生的弹力[br][/size][br][/b]微小形变产生的弹力可大可小,无法根据形变大小来判断,只能用其他方法计算,在受力分析章节中再详细介绍。下面我们主要探究这类弹力的方向。[br][br]另外,高中阶段我们为了简化研究,一般研究轻物体的弹力,即忽略这些物体重力的影响。如轻杆、轻绳、轻环、轻杆等。[b][br][br]1、接触面类型的弹力[br][br][/b]这种类型的弹力产生于两物体正面的接触和挤压,形变的方向在挤压方向上,故产生的弹力[color=#980000]垂直于接触面[/color]。[br][br]我们要找出弹力的方向,首先就得找到接触面,然后过接触点做接触面的垂线并将力指向受力物体。
[b]2、不可伸缩绳子的张力[br][br][/b]不可伸缩绳子的弹力也叫张力,是绳子受到拉伸绷直后产生的微小形变所产生的,通常用字母[math]T[/math]来表示。[br][br]张力的方向[color=#980000]沿绳收缩的方向[/color]。
我们将轻绳切割成无数小段,这些切割的微元就像人手牵手一样连接在一起。[br][br]当绳子一端受拉力,这个力会通过中间无数微元的传递到另一端。因为绳子是轻绳,我们忽略质量影响,则在每一段传递的张力大小都是相等的。[br][br]由此可以得出一个结论:[color=#980000]同一条轻绳上的张力处处相等[/color]。
对于用死结连接起来的绳子,不能看成同一段绳子,两段绳子上的拉力可能不相等。[br][br][img]data:image/png;base64,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[/img]
[b]3、杆的弹力[br][br][/b]此处我们主要说的是轻杆的两端产生的弹力。[br][br]铰接的杆因为可以转动,只能沿杆方向对它施加力,它产生的弹力也只能沿着杆方向;[br][br]固定的杆可以沿任意方向给它施加力,产生的弹力也可以沿任何方向。
[size=150][b]三、弹力有无的判断[br][br][/b][/size]弹力的产生需要形变,有些物体虽然看似接触,但是有没有发生形变看不出来。我们无法通过是否发生形变来判断是否有弹力。需要用其他方法。[br][br]弹力的产生具有一种被动的性质,他是被压迫或拉伸后产生的,目的是为了反抗改变。[br][br]要判断有没有弹力,可以通过假设物体没有或者有弹力,看会不会改变物体的运动状态。
[color=#0000ff][b]例1[/b]:下列对图中弹力有无的判断,正确的是( )[br][img width=540px,height=129px]https://img.xkw.com/dksih/QBM/editorImg/2024/9/9/b4409c80-19be-498a-bcdc-e0ff95b71bd3.png[/img][br][/color][table][tr][td][color=#0000ff]A.小球随车厢(底部光滑)一起向右做匀速直线运动,则车厢左壁对小球有弹力[/color][/td][/tr][tr][td][color=#0000ff]B.小球被轻绳斜拉着静止在光滑的斜面上,则绳对小球有弹力[/color][/td][/tr][tr][td][color=#0000ff]C.小球被[i]a[/i]、[i]b[/i]两轻绳悬挂而静止,其中[i]a[/i]绳处于竖直方向,则[i]b[/i]绳对小球有拉力[/color][/td][/tr][tr][td][color=#0000ff]D.小球静止在光滑的三角槽中,三角槽底面水平,倾斜面对球有弹力[/color][br][/td][/tr][/table][br][color=#ff0000]解析:[br]A:假设车厢左壁对小球有弹力,则小球会相对车箱向右运动,不符合相对静止的情况,此弹力不该有;[br]B:假设没有绳子,球会沿斜面滚下,说明绳子必须给球提供一个弹力;[br]C:假设没有a绳,球会摆荡,说明a绳上一定有弹力;假设没有b绳,a绳也可以让球保持静止;假设B绳有弹力,则重力[math]G[/math]、[math]T_a[/math]、[math]T_b[/math]三个力无法保持平衡,b绳上不能有弹力。[br][img]data:image/png;base64,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[/img][br]D:假设没有倾斜面,小球仍能保持静止;假设倾斜面给小球一个弹力,则小球无法静止,说明倾斜面不应该对球有弹力。[br][img]data:image/png;base64,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[/img][/color]