Практикалық сабақтар.
Тақырып: метариалдық нүкте кинематикасы.
Сабақ мақсаты: кинематика бойынша есептер шығару мен конструктор, есептер шығару алгоритмін құрастыру. Қозғалыстың кинематикалық сипатамаларын есептеуге есептер шығарту.
Есеп шығару мысалдыры
1 есеп. Егер дененің максимал көтерілу биіктігі оның ұшу алыстығына ¼ бөлігіне тең болса, онда ол горизонтқа қандай бұрышпен лақтырылған?
(1. сурет).
Берілген: .
Табу керек: .
Шешуі
Бастапқы жылдамдықтың құраушылары
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)
Достарыңызбен бөлісу: |