2-есеп. Жіпке ілінген суы бар шелек тербеліп тұр. Шелектің түбіндегі тесіктен су біртіндеп ағып түр деп есептеп, жүйені математикалық мятник деп есептеп оның тербеліс периоды өзгереме жоқ па деген сұраққа жауап беру керек.
Бір қарағанда период өзгермейтіндей көрінуі мүмкін, бірақ:
Мұндағы L – жіптің ұзындығы емес, іліну нүктесінен ауырлық центріне дейінгі қашықтық ауырлық центрі су ағуына байланысты ығысады. Демек жүйенің тербеліс периоды да өзгереді.
3-есеп. Бір уақыттың өзінде бір математикалық маятник 50, ал екіншісі 30 тербеліс жасайдыОлардың бірінің ұзындығы екіншісінен 32см қысқа екендігі берілген деп олардың ұзындығын табу керек.
Берілгені: Шешуі:
Ең алдымен қай матниктің ұзындау екенін анықтайық.
Әрине ол аз тербеліс жасап отырған маятник демек ол екінщшісі
Онда:
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YBMBWR1j5AN/QyQAwiNUFTBwBumwCYikhXPwHd0MsAMYjUBIUKAJw1ATQVGBjo7e1dWlpa7yb96wEsgV4GiEGkJmjqAMBtE4RUUVFhdAlwXsuWLfPy8uqOW27tA3RDL0NNNEFLE6YJmjcAlJSUnDhxQv38oKCgjh07alcPgCa2C6D1rn2Wu/oJ6INeBohEmCZo3gCQnp7uUEru3r27dsUAqGLvHZCWO/kB6INeBohEmCZo3gDAp6YAExJm7QP0QS8DRCJMExQnAPCpKUAH9tY+y139BPRBLwNEIkwTNG8A4FNTgAkJc/ID0Ae9DBCJME1QnADAWRNAB8KsfYA+6GWASIRpgiYNAGfPnr1w4YL6+R07drTcxRfAioS5+gnogF4GCEaYJmjSAMApE8CchDn5AeiAXgYIRpgmaNIAYPXbJowcOTI1NbX6j+3btz99+rSB9QCuIszaB+iAXgYIRpgmKEgAMNVZk4sXL37++ec1R+6++26jigFcS5irn4AO6GWAYIRpgiYNAJa+bcLq1atv3rxZc4RFE8IQ5uQHoAN6GSAYYZqgGQNAeXn50aNH1c/39vbu2rWrdvU4atWqVbVGWDQhDD8/P4e+1hSQFr0MEI8wTdCMASAjI+PGjRvq53fr1s3Dw0O7ehyyd+/eWiu+l5fXz3/+c6PqAQAYgl4GwLTMGAAsfc207ikTpTxfX19DigEAGIVeBsC0zBgArPupqcLCwrVr19Ya5JopAEiIXgbAtEQIAOY5a/LJJ59cv3691iCLJgBIiF4GwLTMGACs+80pda+ZNmHRBAAp0csAmJbpAkB+fv6pU6fUz2/RokW7du20q0e9jIyM3bt31xoMCQmJiIgwpB4AgFHoZQDMzHQBwLpvmqz3lMldd93l3KMlJyfPnDkzLy9P+b0YN5wCAHlI3svKysqOHTum/CVkZ2f/ZJOTk1NYWFhUVFRs4+Hh4ePj4+/vr0SLVq1ahYeHR0ZGdu/eXXmiNm3auOhHAWCX6QKARW+bUF5evmbNmrrjTlwzTUtLmzp16jfffOOKugAABpCtl1VUVKSnp+/du/fbb789cODAkSNHSktLG55/8+bN69evnz9/vtamzp07JyYmjho1yukzaABuyXQBwKJnTTZt2nTu3Lm64w4FgPz8/Pnz5y9fvlxZgl1XGgBAb7L1smbNmhUWFrqkhhMnTiy2UULR73//+7Fjx7q5ubnkkQFUs3wAMMlZk3qvmbq7u8fGxqp8hNWrV8+aNavuuRAAgOXI1stcdfRfk/J3OH78+EWLFv3lL3/p06ePyx8fkJnpAkBaWpr6yW5ubjExMdoVo1JeXt7mzZvrjkdFRQUGBt5y90OHDk2bNq3uh64AABYlYS+zx9/fPy4uTokQykH87bff3rJly5CQEGX86tWrV65cOX36tNL+9uzZs2PHjps3b9bd/fDhw3379n355ZdnzZrldA0AajFXAPjxxx8LCgrUz1eWkoCAAO3qUemvf/1rvW/aueU1U2X5mzdv3ooVK/iYL6zixo0b69ev37Bhw4EDB86ePav81w0NDe3du/fQoUNHjBjh7e1tdIG3cPz48Y8//njnzp3Kby5duqSMtG3bNiIiYtCgQcOGDVOWFKMLhAhk62X18vLyGj58+KhRowYPHuzn51d3QlsbJV388pe/VP6Ym5u7ZMmSd955p+7FhLKysjlz5pw6deqtt95yohLAhazeBKuZKwBY9Jrpe++9V+94w4vmqlWr5s6de/HiRW2KAlwvOTlZ+U97+vTpmoMnbD755BNl04IFC379618bVV7DlLKnTZu2adOmysrKmuNZNl999dXMmTPHjh374osvduzY0agiIQapelm9Jk2a9PzzzyvH9+p3adeu3euvv/74448nJiaePHmy7oS33347ODj45ZdfdrQYwFUs3QRrMVcAsOLXpvzrX/9S/uHr3WRv0dy/f79yIPLdd99pWRfgSuXl5cp/2pUrVzYw59SpU8oB9M6dO5ctW+bh4aFbbWoox/ejR4++du1aA3MqKipWr169fv36v/3tb7/61a90qw3ikaSX2ePu7r5o0SLnrmlERUXt27fvrrvuyszMrLtVObrq27cvL0/oz+pNsC5zBQArnjWp9yNTiqCgoOjo6FqDly9fVgKisgvv+YG1JCUlNbzwVVuxYoWbm9vy5cu1Lkk95Xhi+PDhRUVFaiYXFBQkJia+//77yjqudWEQlfC9rGExMTGNeUdTcHDwxx9/HB8fX++NRCdMmKAEFV9fX6cfH3CCpZtgvawdAAw/a5Kfn5+SklLvpj59+tS8c1llZeW777777LPPKhmg1kxlWr9+/ZSjjUmTJmlYK+AspRkrK5r6+e+8886AAQMeeugh7UpST3npKUcMKo/+q5SXl0+cOFFZXnr27KldYRCYwL1MDec+M1BT7969p0yZsmTJkrqbcnNzly1bNnPmzEY+BaCepZugPSYKADdu3LB3/bFefn5+Xbp00a4eNZT/E8XFxfVuqrkCfvvtt1OnTj1w4ECtOTExMY/YhIWFNbG9aVK7UgHnlJaWzp0719G9/vCHPzz44INeXl5alOSQDRs2OHo0pigpKRk9enR6erqnp4kWSViCwL1MJZd8gVdSUtLSpUvrvVquHF0RAKAbqzdBe0zU25Re69AXYEVHRxv+5SD2rpk2qbFobt68eciQITU/d9i+ffsxY8aMHTuW84swv9TU1FOnTjm6V3Z2tnLkPXLkSC1Kcsjnn3/u3I6ZmZmrV6/+zW9+49p6IDxRe5l6jb8C0MR2Z6SBAwdu37697qYff/xx9+7d8fHxjX8W4Jas3gTtMVEAsNybJtPS0vbv329va/UKePny5aqj/6CgICUOKsf999xzj+HLPaDSxo0bndvxs88+M8Pat2fPHqf3XbBgweOPP86rFQ4RtZeppHS6qKioRhf1H3379q03ACi2bdtGAIA+rN4E7TFRALDcbRMaOGUSERHRsmXLqt97e3snJCQox/2JiYk+Pj56VQe4RgNHBhrt6Frnzp1zet+srKzvv//+zjvvdGE9EJ6ovUyl2NhYV2XmuLg4e5v27dvnkqcAbsnqTdAeEwUA8581KSgo+Omnn06ePJmZmXnkyJFPP/3U3syap0xG2ehSIOB6eXl5zu2Ym5vr2kqcc/369cbsvnXrVgIAHCJqL1PJJe//qdLAF/PVe5NQQAtWb4L2mCgA6HzWpLy8vKKi4qZNaWlpSUlJcXFxUVGRcriQn59/7dq1S5cunT9//uzZs2fOnMmxuXLlisoHd+EKCKAxWrVq1ZhV+Ouvv3722WddWA+EJ2cv0+Le1s2bN7e3SfmJXP50gFQMCwCnT58++v85+p24bdq00ai2xiMAQBihoaEO3dKkWrt27VxejBNuu+22xgQAk5/CgeHoZdppIAAUFhbqWQlkZvUmaI8eAaCsrEz5u6u5PmZkZAj86vXz8+P2PhBGnz59nFv7lB1dXowTEhMTd+/e7fTujh7MQWD0Mp01cFWBj+ZDN1ZvgvZoGwCmTZu2fft25S9OWTc1fSJT6d27N/cOhzCGDRv28ccfO7Hj8OHDXV6ME8aNG/fKK68UFBQ4t3vdb+6DhOhlhmjgZauEEz0rgcys3gTt0fC1XV5evmrVqhs3bmj3FObE+38gEmXt69SpU1ZWlkN7denSZejQoRqV5JC2bdu+9tprU6ZMcW53M3+NC/RBLzNKA5/gb9WqlZ6VQGZWb4L2aBgAjh07JuGK2cQEiybgQsoR8MKFC0eMGOHQXq+//rqHh4dGJTlq8uTJJ06cWLx4sRP7+vr6urweWAu9zCgNXAEICwvTsxLITIAmWC8NA4Cjt0IThuGLJuBaw4cPf+qpp958802V86dPn262Mx+LFi0KDw+fOXNmaWmpQzu2aNFCo5JgFfQyozTwJR7du3fXsxJIToAmWJeGAeDf//63dg9uWu1tjK4CcLE33nijrKxs+fLlt5w5bdq0hQsX6lCSo5KSku67774pU6bs2LFD/V68nEEvM0p6erq9TXw7B3QmQBOsRcMA8Ccb7R4fgG7c3d2XLVsWHx8/Z86c06dP1zunY8eOykt+zJgxOtemXrdu3bZv37527dqZM2fm5OSo2SU8PFzrqmBy9DKjHDlyxN6mX/ziF3pWAojRBGviZjUA1Hr44YcffPDB1NTUDRs2HDhw4OzZsxUVFaGhob179x42bJiyycfHx+gab+2hhx5KSEiYMWPGihUrbjmZdxoARrF3BaBPnz4mv8M6RCVGE6xCAADgAGV1e9jG6EIaxd/f/+233+7atev06dMbnnnHHXfoUxKAmoqKipQDrHo3TZgwQedigGpiNMEmBAAA0nrqqaf27duXnJxsb4K7u7vhn4ME5LR169aSkpK6402bNhXg2AswHAEAgLyeeeaZBgJAr169mjVrpmc9AKps2LCh3vFx48YFBAToXAwgHgIAAHl169atga2DBw/WrRIA1UpKSjZt2lR3vGnTpvPnz9e/HkA8BAAA8iouLm5g60MPPaRbJQCqrVq16vLly3XH58yZ07p1a/3rAcRDAAAgr9zcXHubfvazn0VHR+tZDABFeXn5G2+8UXc8PDz8mWee0b8eQEgEAADy+vrrr+1tuuUNggBoITk5+ccff6w16OHhsWbNGl9fXyMqAgREAAAgr9TU1HrHO3ToYJUvcwFEcvXq1VmzZtUdnzdvXr9+/fSvBxAVAQCApHbu3Lljx456Ny1YsMDLy0vfcgA0mTlz5rlz52oN9u/f/7nnnjOkHkBUBAAAMiorK3vqqafq3RQbGzt27Fid6wHwz3/+87333qs12KVLl9TUVHd3d0NKAkRFAAAgo4kTJx48eLDuuK+v7wcffKB7OYDsTp8+PWbMmMrKypqDrVu33rx5c8uWLY2qChAVAQCAdGbPnm3vKP+1115r+MsBALhccXHxsGHDLly4UHMwICBg06ZNnTp1MqoqQGAEAAASKSwsfPTRRz/77LN6t44fPz4pKUnfigDZVVZWKi+9WlfkmjZt+uWXX955551GVQWIjQAAQBZffPHFk08+mZ2dXe/WAQMGvPvuuzqXBGDChAkpKSk1R4KCgjZv3hwXF2dUSYDwCAAAxHfw4MEXXnhh48aN9ib07dtXiQfc+QfQmZLJa33wNzg4eMuWLbGxsUaVBMiAAABAWJWVldu2bVu4cKHyawPT7r333g0bNgQEBOhWGIAmtpt+vvXWWzVH2rVrt3nz5h49ehhVEiAJAgAAAaWlpX344YfJyck5OTkNz/zd73739ttve3qyGAL6UcL5lClTVq5cWXOwW7duW7Zs6dixo1FVAfKg5wEQ0B133HHLOb6+vosXL548ebIO9QCoVl5e/thjj3300Uc1B+Pi4jZt2tS8eXOjqgKkQgAAIKMePXokJyfHxMQYXQggl5KSkjFjxtT6QM6IESPWrFmjZHKjqgJkQwAAIJeAgID58+dPnz6dt/0AOrt06VJiYuKePXtqDs6ePfvVV181qiRATvQ/ALLw8vJ69NFHX3jhhfbt2xtdCyCd7OzsQYMGZWZmVo8oL8mVK1c+9thjxhUFSIoAAEB8fn5+yqH/3Llzw8PDja4FkNG+ffsSEhLOnz9fPdKiRYuUlJSBAwcaVxQgLwIAAJFFR0dPnDhx/PjxzZo1M7oWQFLKgb7yGiwuLq4eUV6YGzdu7NSpk4FVATIjAAAQUFRU1IgRI0aOHKnmdkAAtPPKK6/Mnz+/srKyeuSBBx5ITk4ODAw0sCpAcgQAAAJKT083ugRAdqWlpRMmTFizZk3NwRkzZrz22mtubm5GVQWgCQEAAAC43KVLl4YNG7Zr167qER8fn5UrV44bN87AqgBUIQAAAABXOnr06JAhQ7Kzs6tHWrduvX79+ri4OAOrAlCNAAAAAFzmq6++Gj169LVr16pHevbsuXHjxrCwMAOrAlATAQAAALjGihUrnnzyybKysuqR4cOHr1mzxt/f38CqANRCAAAAAI1VWVk5Y8aMP//5zzUHlZHXX3/dqJIA2EMAAAAAjVJSUvLII4+sX7++esTT03P58uUTJkwwsCoA9hAAAACA8y5cuJCQkPDdd99VjwQFBa1bt+6+++4zsCoADSAAAAAAJ2VkZAwePLjmDX86duz4xRdfxMTEGFgVgIYRAAAAgJPi4+OvXLlSc+TUqVM9evTQ4akrKip0eBZASAQAAADgpFpH/wAsgQAAAAAASIQAAAAAAEiEAKCrgoKC3NzcPJtav1F+tbdXUFBQu3btQkND6/21adOmev4IAAAAsDQCgObef//9Dz74oOoov6ioyIlHuH79+nGbercGBARUhYHJkyePGTOmccUCAABAcAQAzf3www/ffPONdo9fWFiYadO/f3/tngUAAABiIAAAAAAAEiEAaO7PNkZXAQCA63EzfsCKCAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARAgAAAAAgEQIAAAAAIBECAAAAACARP4H/UGL0ecg+6wAAAAASUVORK5CYII=) есептің шартынан t1= t2
Достарыңызбен бөлісу: |