Механика твердого тела. Семенов М.В - 5 стр.

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Ëåêöèîííûå äåìîíñòðàöèè
ÎÃËÀÂËÅÍÈÅ
1. Êèíåìàòèêà òâ¸ðäîãî òåëà
1.1. Ñòåïåíè ñâîáîäû (ñòåðæåíü è öèëèíäð, ãàéêà è âèíò, øàð) ............................... 6
1.2. Ðàçëè÷èå êðóãîâîãî ïîñòóïàòåëüíîãî è âðàùàòåëüíîãî äâèæåíèÿ òâ¸ðäîãî òåëà
(«êîëåñî îáîçðåíèÿ») .................................................................................................. 7
1.3. Óãëîâàÿ ñêîðîñòü (âðàùåíèå äèñêà ñ ìåòêîé â ñòðîáîñêîïè÷åñêîì îñâåùåíèè) ...... 7
1.4. Ðàñïðåäåëåíèå ñêîðîñòåé âî âðàùàþùåìñÿ òâ¸ðäîì òåëå (îïûò ñ òî÷èëîì) ....... 8
1.5. Ìãíîâåííàÿ îñü âðàùåíèÿ (êà÷åíèå ïàðàëëåëåïèïåäà, ïðèçìû, öèëèíäðà) ....... 8
1.6. Ñëîæåíèå âðàùàòåëüíîãî äâèæåíèÿ ñ ïîñòóïàòåëüíûì, ìãíîâåííàÿ îñü
âðàùåíèÿ (äèñê ñ òî÷êàìè) ....................................................................................... 9
1.7. Ñëîæåíèå óãëîâûõ ñêîðîñòåé (âîë÷îê) ..................................................................... 9
1.8. Ñëîæåíèå óãëîâûõ ñêîðîñòåé (øàð ñ òî÷êàìè) ..................................................... 11
2. Äèíàìèêà òâ¸ðäîãî òåëà
2.1. Äâèæåíèå öåíòðà ìàññ:
1) áðîñàíèå ïàëêè ñ ëàìïî÷êîé ............................................................................. 12
2) îïûò ñ äîùå÷êîé íà ñòîëå .................................................................................. 12
2.2. Ìàÿòíèê Îáåðáåêà (ìîìåíò ñèëû è ìîìåíò èíåðöèè) ........................................ 13
2.3. «Íåïîñëóøíàÿ» êàòóøêà .......................................................................................... 13
2.4. Ñêàòûâàíèå öèëèíäðîâ ñ ðàçëè÷íûì ðàñïðåäåëåíèåì ìàññ ñ íàêëîííîé
ïëîñêîñòè (ïîëûé, ñïëîøíîé öèëèíäðû è «âàíüêà-âñòàíüêà») ........................... 14
2.5. Ìàÿòíèê Ìàêñâåëëà:
1) ñ ëîïàòêàìè äëÿ ñîçäàíèÿ òðåíèÿ î âîçäóõ ...................................................... 14
2) íà âåñàõ ................................................................................................................ 14
3) ñ ôàçîé âðàùåíèÿ â íèæíåé òî÷êå .................................................................... 15
2.6. Ñâîáîäíûå îñè âðàùåíèÿ:
1) áðîñàíèå ïàðàëëåëåïèïåäà ................................................................................. 16
2) âðàùåíèå ñòåðæíÿ, äèñêà, êîëüöà è öåïî÷êè íà öåíòðîáåæíîé ìàøèíå ..... 16
2.7. Îïûòû íà âðàùàþùåìñÿ ñòîëå ñ âîçäóøíîé ïîäóøêîé:
1) êèíåìàòèêà âðàùàòåëüíîãî äâèæåíèÿ ............................................................... 17
2) äèíàìèêà âðàùàòåëüíîãî äâèæåíèÿ .................................................................. 18
3) ïðîâåðêà òåîðåìû Ãþéãåíñà-Øòåéíåðà. ........................................................... 18
2.8. Çàêîí ñîõðàíåíèÿ ìîìåíòà êîëè÷åñòâà äâèæåíèÿ:
1) ñêàìüÿ Æóêîâñêîãî (ñ ãàíòåëÿìè è ñ âåëîñèïåäíûì êîëåñîì) ...................... 19
2) âðàùåíèå ðîòîðà è ñòàòîðà ýëåêòðîäâèãàòåëÿ, çàêðåïë¸ííîãî â ïîäøèïíèêàõ ... 20
3) ïóøêà ñ íåñèììåòðè÷íûì ñíàðÿäîì ................................................................. 20
4) «êîøêà» Êîíîïàòêèíà ......................................................................................... 20
5) ìàÿòíèê Ïåøåõîíîâà .......................................................................................... 21
6) âðàùàþùàÿñÿ äâîéíàÿ öèëèíäðè÷åñêàÿ ñïèðàëü ............................................. 21
2.9. Ãèðîñêîïû:
1) ñîõðàíåíèå íàïðàâëåíèÿ îñè âðàùåíèÿ ñâîáîäíîãî ãèðîñêîïà
(êàðäàíîâ ïîäâåñ, âîë÷îê) ..................................................................................... 22
2) ïðåöåññèÿ è íóòàöèÿ ãèðîñêîïà ......................................................................... 23
3) îïðîêèäûâàþùèéñÿ ãèðîñêîï (ãèðîñêîï íà âðàùàþùåìñÿ äèñêå) ................ 25
4) êàòÿùèéñÿ îáðó÷ .................................................................................................. 25
2.10. Ãèðîñêîïè÷åñêèå ñèëû:
1) ãèáêèé äèñê ......................................................................................................... 25
2) ìîíîðåëüñîâàÿ äîðîãà ......................................................................................... 27
3) ãèðîñêîï íà êà÷àëêå ............................................................................................ 28
4) ãèðîñêîï â øàðå .................................................................................................. 28
2.11. Âðàùåíèå äåðåâÿííîãî ÿéöà ................................................................................. 29
2.12. Êèòàéñêèé âîë÷îê .................................................................................................. 29
2.13. Êåëüòñêèå êàìíè .................................................................................................... 30
Ëåêöèîííûå äåìîíñòðàöèè                                                                                                        5

                                                    ÎÃËÀÂËÅÍÈÅ

            1. Êèíåìàòèêà òâ¸ðäîãî òåëà

1.1. Ñòåïåíè ñâîáîäû (ñòåðæåíü è öèëèíäð, ãàéêà è âèíò, øàð) ............................... 6
1.2. Ðàçëè÷èå êðóãîâîãî ïîñòóïàòåëüíîãî è âðàùàòåëüíîãî äâèæåíèÿ òâ¸ðäîãî òåëà
    («êîëåñî îáîçðåíèÿ») .................................................................................................. 7
1.3. Óãëîâàÿ ñêîðîñòü (âðàùåíèå äèñêà ñ ìåòêîé â ñòðîáîñêîïè÷åñêîì îñâåùåíèè) ...... 7
1.4. Ðàñïðåäåëåíèå ñêîðîñòåé âî âðàùàþùåìñÿ òâ¸ðäîì òåëå (îïûò ñ òî÷èëîì) ....... 8
1.5. Ìãíîâåííàÿ îñü âðàùåíèÿ (êà÷åíèå ïàðàëëåëåïèïåäà, ïðèçìû, öèëèíäðà) ....... 8
1.6. Ñëîæåíèå âðàùàòåëüíîãî äâèæåíèÿ ñ ïîñòóïàòåëüíûì, ìãíîâåííàÿ îñü
    âðàùåíèÿ (äèñê ñ òî÷êàìè) ....................................................................................... 9
1.7. Ñëîæåíèå óãëîâûõ ñêîðîñòåé (âîë÷îê) ..................................................................... 9
1.8. Ñëîæåíèå óãëîâûõ ñêîðîñòåé (øàð ñ òî÷êàìè) ..................................................... 11

            2. Äèíàìèêà òâ¸ðäîãî òåëà

2.1. Äâèæåíèå öåíòðà ìàññ:
    1) áðîñàíèå ïàëêè ñ ëàìïî÷êîé ............................................................................. 12
    2) îïûò ñ äîùå÷êîé íà ñòîëå .................................................................................. 12
2.2. Ìàÿòíèê Îáåðáåêà (ìîìåíò ñèëû è ìîìåíò èíåðöèè) ........................................ 13
2.3. «Íåïîñëóøíàÿ» êàòóøêà .......................................................................................... 13
2.4. Ñêàòûâàíèå öèëèíäðîâ ñ ðàçëè÷íûì ðàñïðåäåëåíèåì ìàññ ñ íàêëîííîé
    ïëîñêîñòè (ïîëûé, ñïëîøíîé öèëèíäðû è «âàíüêà-âñòàíüêà») ........................... 14
2.5. Ìàÿòíèê Ìàêñâåëëà:
    1) ñ ëîïàòêàìè äëÿ ñîçäàíèÿ òðåíèÿ î âîçäóõ ...................................................... 14
    2) íà âåñàõ ................................................................................................................ 14
    3) ñ ôàçîé âðàùåíèÿ â íèæíåé òî÷êå .................................................................... 15
2.6. Ñâîáîäíûå îñè âðàùåíèÿ:
    1) áðîñàíèå ïàðàëëåëåïèïåäà ................................................................................. 16
    2) âðàùåíèå ñòåðæíÿ, äèñêà, êîëüöà è öåïî÷êè íà öåíòðîáåæíîé ìàøèíå ..... 16
2.7. Îïûòû íà âðàùàþùåìñÿ ñòîëå ñ âîçäóøíîé ïîäóøêîé:
    1) êèíåìàòèêà âðàùàòåëüíîãî äâèæåíèÿ ............................................................... 17
    2) äèíàìèêà âðàùàòåëüíîãî äâèæåíèÿ .................................................................. 18
    3) ïðîâåðêà òåîðåìû Ãþéãåíñà-Øòåéíåðà. ........................................................... 18
2.8. Çàêîí ñîõðàíåíèÿ ìîìåíòà êîëè÷åñòâà äâèæåíèÿ:
    1) ñêàìüÿ Æóêîâñêîãî (ñ ãàíòåëÿìè è ñ âåëîñèïåäíûì êîëåñîì) ...................... 19
    2) âðàùåíèå ðîòîðà è ñòàòîðà ýëåêòðîäâèãàòåëÿ, çàêðåïë¸ííîãî â ïîäøèïíèêàõ ... 20
    3) ïóøêà ñ íåñèììåòðè÷íûì ñíàðÿäîì ................................................................. 20
    4) «êîøêà» Êîíîïàòêèíà ......................................................................................... 20
    5) ìàÿòíèê Ïåøåõîíîâà .......................................................................................... 21
    6) âðàùàþùàÿñÿ äâîéíàÿ öèëèíäðè÷åñêàÿ ñïèðàëü ............................................. 21
2.9. Ãèðîñêîïû:
    1) ñîõðàíåíèå íàïðàâëåíèÿ îñè âðàùåíèÿ ñâîáîäíîãî ãèðîñêîïà
      (êàðäàíîâ ïîäâåñ, âîë÷îê) ..................................................................................... 22
    2) ïðåöåññèÿ è íóòàöèÿ ãèðîñêîïà ......................................................................... 23
    3) îïðîêèäûâàþùèéñÿ ãèðîñêîï (ãèðîñêîï íà âðàùàþùåìñÿ äèñêå) ................ 25
    4) êàòÿùèéñÿ îáðó÷ .................................................................................................. 25
2.10. Ãèðîñêîïè÷åñêèå ñèëû:
    1) ãèáêèé äèñê ......................................................................................................... 25
    2) ìîíîðåëüñîâàÿ äîðîãà ......................................................................................... 27
    3) ãèðîñêîï íà êà÷àëêå ............................................................................................ 28
    4) ãèðîñêîï â øàðå .................................................................................................. 28
2.11. Âðàùåíèå äåðåâÿííîãî ÿéöà ................................................................................. 29
2.12. Êèòàéñêèé âîë÷îê .................................................................................................. 29
2.13. Êåëüòñêèå êàìíè .................................................................................................... 30