حلول التدريبات العملية ديناميكا لجسم واحد
5. يتحرك جسم على سطح مائل غير أملس
5.5. التسارع تحت تأثير قوة أفقية والاحتكاك
للتعبير عن مقدار تسارع الجسم، نرسم مخطط القوى ونكتب معادلات الحركة:
تعمل أربع قوى على الجسم: قوة خارجية في اتجاه أفقي، قوة الاحتكاك الحركي، قوة الجاذبية، والقوة العمودية.
نرسم مخطط القوى:

نحدد محور X في اتجاه نحو أسفل السطح المائل والمحور Y في اتجاه عمودي على المستوى.
نقوم بتحليل قوة الجاذبية W والقوة F:
زاوية ميل السطح المائل هي الزاوية بين قوة الجاذبية W ومركّب قوة الجاذبية XW.

في الاتجاه العمودي للسطح الجسم في وضع اتّزان، نكتب معادلات الحركة في اتجاه المحور :Y
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في اتجاه نحو أسفل السطح المائل لا يكون الجسم في وضع اتّزان، بل يتحرك بتسارع. نكتب معادلات الحركة في اتجاه المحور:X
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نعبر عن القوة العمودية من معادلة الحركة في اتجاه المحور y:
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نعوض تعبير القوة العمودية من معادلة الحركة في اتجاه
المحور Y في معادلة الحركة في
اتجاه المحور X:
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لنفتح الأقواس ونعبر عن التسارع:
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