ÌâÄ¿ÄÚÈÝ

£¨2011?ɽ¶«Ä£Ä⣩ÈçͼËùʾ£¬Ð±ÃæÌå¹Ì¶¨ÔÚˮƽÃæÉÏ£¬Ð±Ãæ¹â»¬£¬Çã½ÇΪ¦È£¬Ð±Ãæµ×¶Ë¹Ì¶¨ÓÐÓëбÃæ´¹Ö±µÄµ²°å£¬Ä¾°å϶ËÀëµØÃæ¸ßH£¬É϶˷Å×ÅÒ»¸öϸÎï¿é£®Ä¾°åºÍÎï¿éµÄÖÊÁ¿¾ùΪm£¬Ï໥¼ä×î´ó¾²Ä¦²ÁÁ¦µÈÓÚ»¬¶¯Ä¦²ÁÁ¦kmgsin¦È£¨k£¾1£©£¬¶Ï¿ªÇáÉþ£¬Ä¾°åºÍÎï¿éÑØбÃæÏ»¬£®¼ÙÉèľ°å×ã¹»³¤£¬Óëµ²°å·¢ÉúÅöײʱ£¬Ê±¼ä¼«¶Ì£¬ÎÞ¶¯ÄÜËðʧ£¬¿ÕÆø×èÁ¦²»¼Æ£®Çó£º
£¨1£©Ä¾°åµÚÒ»´ÎÓëµ²°åÅöײµ¯ÆðÉÏÉý¹ý³ÌÖУ¬Îï¿éµÄ¼ÓËٶȣ»
£¨2£©´Ó¶Ï¿ªÇáÉþµ½Ä¾°åÓëµ²°åµÚ¶þ´ÎÅöײµÄ˲¼ä£¬Ä¾°åÔ˶¯µÄ·³Ìs£»
£¨3£©´Ó¶Ï¿ªÇáÉþµ½Ä¾°åºÍÎï¿é¶¼¾²Ö¹£¬Ä¦²ÁÁ¦¶Ôľ°å¼°Îï¿é×öµÄ×ܹ¦W£®
·ÖÎö£º£¨1£©¡¢Ä¾°åÉÏÉýʱ£¬¶ÔÎï¿éÊÜÁ¦·ÖÎö£¬ÔÚÑØбÃæ·½ÏòÉÏÓÉÅ£¶ÙÔ˶¯¶¨ÂÉÁÐʽÇó½â£¬±ã¿ÉÇó³öÎï¿éµÄ¼ÓËٶȣ®
£¨2£©¡¢´ËÌâÒª·Ö¶Î½øÐмÆË㣬µÚÒ»¶ÎÊÇľ°å¿ªÊ¼ÏÂÂäÖ±ÖÁµÚÒ»´ÎÓëµ²°åÅöײµÄ¹ý³Ì£¬Óɼ¸ºÎ¹Øϵ¿ÉÇó³ö´Ë¹ý³ÌµÄ·³ÌΪ
H
sin¦È
£¬µÚ¶þ¶ÎÊÇ´ÓµÚÒ»´ÎÓëµ²°åÅöײµ½µÚÒ»´ÎÔ˶¯µ½×î¸ßµã£¬µÚÈý¶ÎÊÇ´Ó×î¸ßµãÏÂÂäµ½µÚ¶þ´ÎÓëµ²°åÅöײ£¬ºóÁ½¶Î·³ÌÏàͬ£®¿ÉÓÉÅ£¶ÙÔ˶¯¶¨ÂɺÍÔ˶¯Ñ§¹«Ê½ÇóµÃ£®
£¨3£©¡¢ÒÔľ°åºÍÎï¿é×é³ÉµÄϵͳΪÑо¿¶ÔÏ󣬸ù¾ÝÄܵÄת»¯ºÍÊغãÁÐʽÇó½â£¬¿ÉÇó³öĦ²ÁÁ¦Ëù×öµÄ¹¦£®×¢ÒâËäȻľ°åºÍÎï¿éµÄÖÊÁ¿Ò»Ñù£¬µ«ÊÇÖØÁ¦¶Ôľ°åºÍÎï¿éËù×öµÄ¹¦²¢²»Ò»Ñù£®
½â´ð£º½â£º
£¨1£©¡¢Ä¾°åµÚÒ»´ÎÉÏÉý¹ý³ÌÖУ¬¶ÔÎï¿éÊÜÁ¦·ÖÎö£¬Êܵ½ÊúÖ±ÏòϵÄÖØÁ¦¡¢´¹Ö±ÓÚбÃæµÄÖ§³ÖÁ¦ºÍÑØбÃæÏòÉϵÄĦ²ÁÁ¦×÷Óã¬ÉèÎï¿éµÄ¼ÓËÙ¶ÈΪaÎï¿é£¬
ÔòÎï¿éÊܺÏÁ¦  FÎï¿é=kmgsin¦È-mgsin¦È¡­¢Ù
ÓÉÅ£¶ÙµÚ¶þ¶¨ÂÉ FÎï¿é=maÎï¿é¡­¢Ú£®
ÁªÁ¢¢Ù¢ÚµÃ£ºaÎï¿é=£¨k-1£©gsin¦È£¬·½ÏòÑØбÃæÏòÉÏ£®
£¨2£©ÉèÒÔµØÃæΪÁãÊÆÄÜÃ棬ľ°åµÚÒ»´ÎÓëµ²°åÅöײʱµÄËٶȴóСΪv1£¬ÓÉ»úеÄÜÊغãÓУº
1
2
¡Á2m
v
2
1
=2mgH

½âµÃ£ºv1=
2gH
£®
Éèľ°åµ¯ÆðºóµÄ¼ÓËÙ¶Èa°å£¬ÓÉÅ£¶ÙµÚ¶þ¶¨ÂÉÓУº
 a°å=-£¨k+1£©gsin¦È
S°åµÚÒ»´Îµ¯ÆðµÄ×î´ó·³Ì£º
S1=
-
v
2
1
2a°å

½âµÃ£ºS1=
H
(k+1)sin¦È

ľ°åÔ˶¯µÄ·³ÌS=
H
sin¦È
+2S1=
(k+3)H
(k+1)sin¦È

£¨3£©ÉèÎï¿éÏà¶Ôľ°å»¬¶¯¾àÀëΪL
¸ù¾ÝÄÜÁ¿ÊغãÓУº
mgH+mg£¨H+Lsin¦È£©=kmgsin¦ÈL
Ħ²ÁÁ¦¶Ôľ°å¼°Îï¿é×öµÄ×ܹ¦Îª£º
W=-kmgsin¦ÈL
ÁªÁ¢ÒÔÉÏÁ½Ê½½âµÃ£º
W=-
2kmgH
k-1
£¬¸ººÅ˵Ã÷Ħ²ÁÁ¦¶Ôľ°å¼°Îï¿é×ö¸º¹¦£®
´ð£º£¨1£©Ä¾°åµÚÒ»´ÎÓëµ²°åÅöײµ¯ÆðÉÏÉý¹ý³ÌÖУ¬Îï¿éµÄ¼ÓËÙ¶ÈΪ£¨k-1£©gsin¦È£»
£¨2£©´Ó¶Ï¿ªÇáÉþµ½Ä¾°åÓëµ²°åµÚ¶þ´ÎÅöײµÄ˲¼ä£¬Ä¾°åÔ˶¯µÄ·³ÌΪ
(k+3)H
(k+1)sin¦È
£»
£¨3£©´Ó¶Ï¿ªÇáÉþµ½Ä¾°åºÍÎï¿é¶¼¾²Ö¹£¬Ä¦²ÁÁ¦¶Ôľ°å¼°Îï¿é×öµÄ×ܹ¦Îª
2kmgH
k-1
£®
µãÆÀ£º´ËÌ⿼²ìµ½ÁËÄÜÁ¿µÄת»¯ÓëÊغ㶨ÂÉ£¬Ç£³¶µ½ÁËÖØÁ¦ºÍĦ²ÁÁ¦×ö¹¦£¬Òª×¢ÒâµÄÊÇÖØÁ¦×ö¹¦Óë·¾¶Î޹أ¬ÖÁÓÚ³õĩλÖõĸ߶ȲîÓйأ»Ä¦²ÁÁ¦×ö¹¦»áʹ»úеÄÜÄÜת»¯ÎªÄÚÄÜ£¬µÈÓÚÔÚÕû¸ö¹ý³ÌÖлúеÄܵÄËðʧ£®
ÔÚÓ¦ÓÃÅ£¶ÙÔ˶¯¶¨ÂɺÍÔ˶¯Ñ§¹«Ê½½â¾öÎÊÌâʱ£¬Òª×¢ÒâÔ˶¯¹ý³ÌµÄ·ÖÎö£¬´ËÀàÎÊÌ⣬»¹Òª¶ÔÕû¸öÔ˶¯½øÐзֶδ¦Àí£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø