[原创]抬杆与切线

xuchunxi

&nbsp;<p align="center" class="MsoNormal" style="LINE-HEIGHT: 20pt; TEXT-ALIGN: center; mso-line-height-rule: exactly;"><b><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">抬杆猛与切线的关系</span></b><b><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">—</span></b><b><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">与飞豹钓友商榷</span></b><b><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></b></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">我喜欢参加京钓网野钓组的活动，如昨日之沙龙。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">4</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">小时，尤感不足。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">愉快之余，收益亦非浅。如江湖钓友所提之境界，然之矣。我曾将“醉翁之意不在酒”，篡改为“渔翁之意不在鱼，在山水间也”，以附庸风雅。可是欲望，种种欲望的诱惑何如？不过，我们“伟大的导师”恩格斯不有言道：“欲望是人类进步的杠杆”乎？马克思主义的深刻的教义，我是全然不懂，但这句话似乎也是平实有理。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">想起来了，杠杆，飞豹钓友论及抬杆猛与切线的内在关系时提到了杠杆。结论是没有错。我只是对飞豹钓友所述抬杆猛与切线的内在关系的描述，有少许不同看法。这里提出来以期指正。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">静平衡时</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><span style="mso-spacerun: yes;">&nbsp;&nbsp; </span>F2*N*a=F1*a </span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">故</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><span style="mso-spacerun: yes;">&nbsp; </span>F2=F1/N<p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">杆梢上的力很小。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><line id="_x0000_s1027" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 2;"></line><line></line><line id="_x0000_s1028" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 3;"></line><line></line><line id="_x0000_s1029" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 4;"></line><line></line><line id="_x0000_s1030" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 5;"></line><line></line><line id="_x0000_s1032" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 7;"></line><line></line><line id="_x0000_s1035" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 10;"></line><stroke></stroke><stroke></stroke><line></line><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">&nbsp;F1为手上的力，F2为杆梢上的力，a为杆底到支点的长度，N*a为支点到杆梢的长度。</span><line id="_x0000_s1042" style="LEFT: 0px; POSITION: absolute; TEXT-ALIGN: left; Z-INDEX: 17;"></line><stroke></stroke><stroke></stroke><line></line><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">&nbsp;<p></p></span></p><p></p><p></p><br clear="all" style="mso-ignore: vglayout;"/><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">关键是杆梢的行程是杆底行程的</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">N</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">倍（为了简单起见，设鱼杆是刚体）。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">鱼所受的力</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">F<p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><span style="mso-spacerun: yes;">&nbsp;&nbsp; </span>F=F</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">钩</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"> -<span style="mso-spacerun: yes;">&nbsp; </span>F</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">水阻</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">=ma<p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">鱼从静止状态在短时间内被迫移动</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">N*L</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的距离须作加速运动</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">NL=0.5*a*t²</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">；</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">a=2N*L/ t^2<p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">F</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">钩</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">= F</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">水阻</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">+m*2N*L/ t^2<p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">从上式可以看到鱼越大（当然），行程越长，时间越短，</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">ma</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">越大。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">F</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">水阻</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">大体上与鱼的大小和鱼的速度有关，速度越快，阻力越大。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">以上是理想化的状态的简单描述。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">结论：杆底的小行程，带来杆梢的短时间内的大行程，以至于鱼钩或鱼线或其他部件，受到鱼的加速度和速度所引发的相当大的力道的冲击以至于崩溃。抬杆那一瞬间</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">F</span><span style="FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">水阻</span><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">几乎为零，这就是猛抬杆，但如行程短就不容易切线的肝要所在。</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;"><p></p></span></p><p></p><p></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span style="FONT-FAMILY: 宋体; FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">然否</span><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">?</span></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">（注：原有图，但传不上去，也就删去了）</span></p><p class="MsoNormal" style="LINE-HEIGHT: 20pt; mso-line-height-rule: exactly;"><span lang="EN-US" style="FONT-SIZE: 14pt; mso-bidi-font-size: 12.0pt;">&nbsp;<p></p></span></p><p></p><p></p>

[此贴子已经被作者于2006-8-11 10:48:28编辑过]

田螺

这么复杂啊，还有复杂的计算.

xuchunxi

简单理想化的结果。实际情况更复杂。但，我想大意似乎是如此。慢抬杆，行程再长，钩也挂不住鱼，道理也是一样。

肥师

和飞豹抬杠您算是找对人了.............

河边老等

[em06][em06][em06][em09][em09][em09]

忆江南

是道力学题呀.

a4岛人

对了，手杆钓鱼时，多余的掉线是沉入水中，还是杆尖翘起悬在空中比较好？

都市游鱼

开始进入深层次探讨了！

bollin（柏林）

<div class="msgheader">QUOTE:</div><div class="msgborder"><b>以下是引用<i>a4岛人</i>在2006-8-11 11:49:00的发言：</b><br/>对了，手杆钓鱼时，多余的掉线是沉入水中，还是杆尖翘起悬在空中比较好？</div><p>要看鱼情！抽浮、打快，不压线可以加快速度。慢、糗还是压线实在些</p>

可乐

<div class="msgheader">QUOTE:</div><div class="msgborder"><b>以下是引用<i>a4岛人</i>在2006-8-11 11:49:00的发言：</b><br/>对了，手杆钓鱼时，多余的掉线是沉入水中，还是杆尖翘起悬在空中比较好？</div><p>风线入水</p><p></p>