Physics · Classical Mechanics
एक यांत्रिक प्रणाली पर विचार करें जिसकी स्थिति व्यापक निर्देशांक (generalized coordinates) q1, ..., qn का उपयोग करके वर्णित की गई है। मान लीजिए T(q1, ..., qn, q·1, ..., q·n) प्रणाली की गतिज ऊर्जा है। यदि प्रणाली पर कार्य करने वाला व्यापक बल Qj (1 ≤ j ≤ n) शून्य है, तो लैग्रेंज के गति के समीकरण हैं:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∂∂q·j(dTdt) - ∂T∂qj = 0
- 2∂∂q·j(dTdt) - 2∂T∂qj = 0
- 3ddt(∂T∂qj) - ∂T∂q·j = 0
- 4ddt(∂T∂q·j) - ∂T∂qj = 0✓
सही उत्तर देखें
ddt(∂T∂q·j) - ∂T∂qj = 0
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