2-масала.
Планетармеханизмнингҳаракатланувчи ИИ г`илдирагиинертсиякучларинингбошвекториваунингСмассалармарказиданҳаракаттекислигигаперпендикулярравишдао`тувчио`ққанисбатанбошмоментианиқлансин. ОСкривошин о`згармасбурчактезликбиланайланади. ИИ г`илдиракмассасиМгатенг.Г`илдиракларрадиуслариргатенг.
Берилганлар: , , . Р-?, М-?
Ечиш: ИИ г`илдираког`ирликмарказинингтезлиги:
![](data:image/png;base64,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)
бо`лгани учун бо`лади.
ИИ г`илдирак ог`ирлик марказининг урунма тезланиши нолга тенг бо`лади, яъни ![](data:image/png;base64,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)
Енди ИИ г`илдирак ог`ирлик марказининг нормал тезланишини ҳисоблаймиз:
![](data:image/png;base64,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)
Демак, ИИ г`илдирак ог`ирлик марказининг то`ла тезланиши қуйидагича ко`ринишга эга бо`лади:
![](data:image/png;base64,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)
2-шакл.
Инертсия кучининг бош векторини аниқлаймиз:
![](data:image/png;base64,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)
Р-ОС о`қига параллел ё`налади.
бо`лгани учун инертсия кучининг бош моменти нолга тенг бо`лади.
3-масала.
Массаси 3 т бо`лган э юк тезланиш билан ко`тарилаётганида айланма кранА подпятниги ва В подшипнигидаги таянч реактсиялар аниқлансин. Кран массаси 2 т ва унинг массалар марказиС нуқтада. Д аравача массаси 0,5 т. Кран ва аравача қо`зг`алмас. О`лчовлар расмда ко`рсатилган.
Берилганлар: т, т, , т. хА-?, я-?, хБ-?.
1-шакл.
Ечиш: юкнинг инертсия кучи:
т.
Реактсия кучларини аниқлаш учун статиканинг мувозанат тенгламаларидан фойдаланамиз:
(18.7)
(18.8)
(18.9)
(18.8) тенгламадан:
ёки
(18.9) тенгламадан:
(18.7) тенгламадан:
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