ÌâÄ¿ÄÚÈÝ
̽¾¿¼ÓËÙ¶ÈÓëÎïÌåÖÊÁ¿¡¢ÎïÌåÊÜÁ¦µÄ¹Øϵ¡±µÄʵÑé×°ÖÃÈçͼ1Ëùʾ£®
£¨1£©½øÐиÃʵÑéʱ£¬Ó¦¿ØÖƺÃС³µÖÊÁ¿MÓëíÀÂëÅ̺ÍíÀÂë×ÜÖÊÁ¿mµÄ¹Øϵ£¬Ê¹ËüÃÇÂú×㠵ĹØϵ£®
£¨2£©Ä³Í¬Ñ§ÔÚʵÑéÖÐÍü¼ÇƽºâĦ²ÁÁ¦£¬²¢×ö³öÁËa-Fͼ£¬Èçͼ2£¬ÆäµÃµ½µÄͼÏóÊÇ£º
£¨3£©¸ÃͬѧÔÚʵÑéÖдò³öÁËÒ»ÌõÖ½´øÈçͼ3Ëùʾ£®¼ÆʱÆ÷´òµãµÄʱ¼ä¼ä¸ôΪ0.02s£®´Ó±È½ÏÇåÎúµÄµãÆð£¬Ã¿5¸öµãÈ¡Ò»¸ö¼ÆÊýµã£¬Á¿³öÏàÁÚ¼ÆÊýµãÖ®¼äµÄ¾àÀ룮Ôò¸ÃС³µµÄ¼ÓËÙ¶Èa= m/s2£®£¨½á¹û±£ÁôÈýλÓÐЧÊý×Ö£©
£¨1£©½øÐиÃʵÑéʱ£¬Ó¦¿ØÖƺÃС³µÖÊÁ¿MÓëíÀÂëÅ̺ÍíÀÂë×ÜÖÊÁ¿mµÄ¹Øϵ£¬Ê¹ËüÃÇÂú×ã
£¨2£©Ä³Í¬Ñ§ÔÚʵÑéÖÐÍü¼ÇƽºâĦ²ÁÁ¦£¬²¢×ö³öÁËa-Fͼ£¬Èçͼ2£¬ÆäµÃµ½µÄͼÏóÊÇ£º
£¨3£©¸ÃͬѧÔÚʵÑéÖдò³öÁËÒ»ÌõÖ½´øÈçͼ3Ëùʾ£®¼ÆʱÆ÷´òµãµÄʱ¼ä¼ä¸ôΪ0.02s£®´Ó±È½ÏÇåÎúµÄµãÆð£¬Ã¿5¸öµãÈ¡Ò»¸ö¼ÆÊýµã£¬Á¿³öÏàÁÚ¼ÆÊýµãÖ®¼äµÄ¾àÀ룮Ôò¸ÃС³µµÄ¼ÓËÙ¶Èa=
·ÖÎö£ºµ±Å̼°ÅÌÖÐíÀÂëµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚС³µ¼°íÀÂë×ÜÖÊÁ¿Ê±£¬¿ÉÒÔÈÏΪС³µÊܵ½µÄÀÁ¦µÈÓÚÅ̼°íÀÂëµÄÖØÁ¦£®
ƽºâĦ²ÁÁ¦Ê±£¬²»ÄܹÒÅÌ£»ÊµÑé¹ý³ÌÖУ¬Ó¦±£Ö¤ÉþºÍÖ½´øÓëľ°åƽÐУ»¸ù¾Ý¡÷x=aT2Çó¼ÓËٶȣ®
ƽºâĦ²ÁÁ¦Ê±£¬²»ÄܹÒÅÌ£»ÊµÑé¹ý³ÌÖУ¬Ó¦±£Ö¤ÉþºÍÖ½´øÓëľ°åƽÐУ»¸ù¾Ý¡÷x=aT2Çó¼ÓËٶȣ®
½â´ð£º½â£º£¨1£©ÔÚ¸ÃʵÑéÖÐʵ¼ÊÊÇ£ºmg=£¨M+m£©a£¬ÒªÂú×ãmg=Ma£¬Ó¦¸ÃʹíÀÂëÅ̺ÍíÀÂëµÄ×ÜÖÊÁ¿Ô¶Ð¡ÓÚС³µµÄÖÊÁ¿£®
¼´MÔ¶´óÓÚm£®
£¨2£©µ±Î´Æ½ºâĦ²ÁÁ¦Ê±£¬ÖªÓÐÀÁ¦Ê±£¬¼ÓËÙ¶ÈÈÔȻΪ0£¬¹ÊͼÏóÔÚºá×ø±êÉÏÓнؾ࣬²»ÄÜÊÇͨ¹ýÔµãµÄÖ±Ïߣ¬
¹ÊCÕýÈ·£¬ABD´íÎó
¹ÊÑ¡C£®
£¨3£©ÓÉÓÚÿ5¸öµãÈ¡Ò»¸ö¼ÆÊýµã£¬ËùÒÔÏàÁڵļÆÊýµã¼äµÄʱ¼ä¼ä¸ôT=0.1s£¬
Éè0µ½1Ö®¼äµÄ¾àÀëΪx1£¬ÒÔºó¸÷¶Î·Ö±ðΪx2¡¢x3¡¢x4¡¢x5¡¢x6£¬
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬
µÃ£ºx4-x1=3a1T2
x5-x2=3a2T2
x6-x3=3a3T2
ΪÁ˸ü¼Ó׼ȷµÄÇó½â¼ÓËٶȣ¬ÎÒÃǶÔÈý¸ö¼ÓËÙ¶Èȡƽ¾ùÖµ
µÃ£ºa=
£¨a1+a2+a3£©
¼´Ð¡³µÔ˶¯µÄ¼ÓËٶȼÆËã±í´ïʽΪ£ºa=
½âµÃ£ºa=1.58m/s2£®
¹Ê´ð°¸Îª£º£¨1£©MÔ¶´óÓÚm
£¨2£©C
£¨3£©1.58
¼´MÔ¶´óÓÚm£®
£¨2£©µ±Î´Æ½ºâĦ²ÁÁ¦Ê±£¬ÖªÓÐÀÁ¦Ê±£¬¼ÓËÙ¶ÈÈÔȻΪ0£¬¹ÊͼÏóÔÚºá×ø±êÉÏÓнؾ࣬²»ÄÜÊÇͨ¹ýÔµãµÄÖ±Ïߣ¬
¹ÊCÕýÈ·£¬ABD´íÎó
¹ÊÑ¡C£®
£¨3£©ÓÉÓÚÿ5¸öµãÈ¡Ò»¸ö¼ÆÊýµã£¬ËùÒÔÏàÁڵļÆÊýµã¼äµÄʱ¼ä¼ä¸ôT=0.1s£¬
Éè0µ½1Ö®¼äµÄ¾àÀëΪx1£¬ÒÔºó¸÷¶Î·Ö±ðΪx2¡¢x3¡¢x4¡¢x5¡¢x6£¬
¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT2¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£¬
µÃ£ºx4-x1=3a1T2
x5-x2=3a2T2
x6-x3=3a3T2
ΪÁ˸ü¼Ó׼ȷµÄÇó½â¼ÓËٶȣ¬ÎÒÃǶÔÈý¸ö¼ÓËÙ¶Èȡƽ¾ùÖµ
µÃ£ºa=
1 |
3 |
¼´Ð¡³µÔ˶¯µÄ¼ÓËٶȼÆËã±í´ïʽΪ£ºa=
x36-x03 |
9T2 |
½âµÃ£ºa=1.58m/s2£®
¹Ê´ð°¸Îª£º£¨1£©MÔ¶´óÓÚm
£¨2£©C
£¨3£©1.58
µãÆÀ£º½Ì¿ÆÊé±¾ÉϵÄʵÑ飬ÎÒÃÇÒª´ÓʵÑéÔÀí¡¢ÊµÑéÒÇÆ÷¡¢ÊµÑé²½Ö衢ʵÑéÊý¾Ý´¦Àí¡¢ÊµÑé×¢ÒâÊÂÏîÕ⼸µãÈ¥¸ãÇå³þ£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿