|
ЛР № 9. Лабораторная работа 8 Определение момента инерции твердых тел методом крутильных колебаний (унифилярный подвес). Цель работы
Устройство и принцип работы изделия.
Установка представлена на рисунках 1,2,3 и включает в свой со
став: основание 1, вертикальную стойку 2,верхний 3 и нижний 4 кронштейны, средний кронштейн 5, набор «снарядов» различной массы, набор пружин спускового устройства, набор исследуемых образцов.
Основание 1 снабжено четырьмя регулируемыми опорами 6 и винтом-барашком 7 для фиксации стойки.
Вертикальная стойка 2 выполнена из металлического прутка.
Верхний 3 и нижний 4 кронштейны предназначены для крепления узлов подвески и натяжения торсиона 8 (стальной проволоки), с которым связана металлическая рамка 9 с грузами 10 (см. Рисунок 3), предназначенная для установки съемной мишени 11 с противовесом 12 (см. Рисунок 3) и исследуемых образцов.
На среднем кронштейне 5, на котором нанесена шкала отсчета угла закручивания торсиона, расположены: спусковое устройство 14, предназначенное для производства «выстрела», электромагнит 15, предназначенный для удерживания рамки в исходном положении и ее освобождения (при этом возникают крутильные колебания рамки вокруг вертикальной оси), фотодатчик 16, предназначенный для определения периода колебаний металлической рамки с исследуемыми образцами и без них. Средний кронштейн 5 имеет скобу с винтом для крепления к вертикальной стойке 2.
Съемная мишень 11 предназначена для приема «снарядов» после выстрела.
Установка работает от блока электронного (далее – блок).
![](data:image/png;base64,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)
Рисунок 3
Указание мер безопасности.
К работе с установкой допускаются лица, ознакомленные с ее устройством, принципом действия и мерами безопасности в соответствии с требованиями, приведенными в настоящем разделе. Для обеспечения нормальной работы установки и предотвращения выхода из строя фотодатчика подключение установки к блоку электронному производить строго в соответствии с описанием, приведенном в следующем разделе. Для предотвращения опрокидывания установки необходимо располагать ее только на горизонтальной поверхности.
Порядок выполнения лабораторной работы.
1. Определение скорости полета «снаряда» методом крутильного баллистического маятника.
1.1. Установить мишень в рамку 9.
1.2. Подключить фотодатчик и электромагнит к блоку электронному.
1.3. Установить «снаряд», взвести пружину. Произвести «выстрел». Визуально определить угол отклонения рамки ( )
масса груза – 1,15 г
1.4. Отклонить рамку на угол (30 градусов) и зафиксировать электромагнитом, нажав кнопку «СЕТЬ» блока.
1.5. Нажать кнопку «ПУСК» блока.
1.6. Определить значение периода колебаний (10 колебаний)
![](data:image/png;base64,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)
1.7. Снять грузы с рамки и вычислить период десяти колебаний рамки без грузов
![](data:image/png;base64,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) Таблица №1.
Определение значения периода колебаний рамки с грузом и без.
Количество колебаний
(n)
| Период колебаний рамки с грузом
(с)
| Период колебаний рамки без груза ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAUCAIAAADp3DFZAAABBklEQVR4nGP5//8/A8WAhXIjaGZKSEjIunXr0ASFhITevHlDgimfP39+/vy5iIhIZ2fnx48fW1paPnz4kJSURJpbFBUVxcXFgYxLly75+fmxsrKKiorKy8uTZsqMGTMgDKAptbW1EPaUKVNIMwUCfv78+ejRIw0NDfyaCZhy7do1VVVVZmZmikwBekdfX59II/CZoqenRwVTPD09McUfP34cGBh45swZoky5fPkyplvu3r3b3Nx87tw5wm6pqKhYvHjxq1evjIyMysrK8vLy4FLKysoLFixYtGgRYVM6wACrA/GAwZyn8YAjR47ExcUBGUpKSsDQsbGxIccUoLZ79+5R6hY8AABxyGF09vUZjgAAAABJRU5ErkJggg==)
(с)
|
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAASCAIAAADOjonJAAABMklEQVR4nGP5//8/AzUAC1VMob1BGzduLC0tvXXrFrLg6tWrCwsL//z509LSkpKSQsCgr1+/trW1SUpK3rlzB1n82rVr06ZNO3fu3Pfv3319fQ0MDExMTPAZxM3N3draCmTk5eUhi0+ePLmsrExMTAzIrqmpmT59+ty5cwl7DRMcOnSovr4ewjYzM4OzSTbo0aNHAgICELawsPCTJ0/INAgYNOzs7BA2FxcXkEumQZycnD9+/ACSQPaXL18gDHIMkpWVff/+PUT/mzdvpKWlyTTI0tISGPdSUlJA9qlTp4DhTaZB6enpBQUFpqamwNABpg+0uMdi0PPnzyMiIq5fvw5kA1ONlpbWqlWrgAygE+Lj43V1dZmYmIAp29zcnIBBwDR98OBBXI4CAlxOHiq5nwwAAJOzcS+XlfnBAAAAAElFTkSuQmCC)
|
|
|
1.8. Вычислить скорость полета «снаряда» по формуле
![](data:image/png;base64,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)
где рад
![](data:image/png;base64,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)
M =
![](data:image/png;base64,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)
![](data:image/png;base64,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)
2. Определение моментов инерции твердых тел с помощью крутильных колебаний. 2.1. Определение теоретических значений моментов инерции тел
, где
размеры исследуемого образца, м
плотность, ![](data:image/png;base64,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)
Определение экспериментальных значений моментов инерции тел.
3.1. Снять мишень.
3.2. Определить период колебаний пустой рамки
![](data:image/png;base64,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)
3.3. Установить два груза на планку. Определить период колебаний рамки с грузами
![](data:image/png;base64,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)
3.4. Определить момент инерции рамки по формуле
![](data:image/png;base64,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)
где – масса груза: 0,2196 кг
– радиус груза: 0,015 м
0,0525 м (расстояние от оси вращения рамки до оси грузов)
3.5. Снять грузы. Установить исследуемый образец в рамке.
3.6. Определить период колебаний рамки с исследуемым образцом
![](data:image/png;base64,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)
3.7. Определить момент инерции исследуемого образца по формуле
![](data:image/png;base64,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)
3.8. Зная теоретическое и экспериментальное значения моментов инерции исследуемого образца, определить относительную погрешность полученных значений по формуле:
![](data:image/png;base64,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)
Контрольные вопросы.
Что называют моментом инерции твердого тела относительно оси вращения? Единица измерения момента инерции. Сформулируйте закон сохранения момента импульса и напишите формулу. Что называют периодом гармонических колебаний? Что называют крутильными колебаниями? Что такое унифилярный подвес? Как его используют? Приведите примеры. От чего зависит период колебаний унифилярного маятника? Какие законы использовались при выводе формулы для расчета скорости полета снаряда? Запишите и объясните их. Выведите формулу (9). Как проводятся измерения периодов крутильных колебаний свободной рамки и рамки с телом? Выведите формулу для определения момента инерции исследуемого образца.
|
|
|