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ifos • paper_1 • mechanicsifos-2012-subject-01-003

D’Alembert’s principle — UPSC IFoS 2012 Physics PYQ

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Using D'Alembert's principle, show that the following relation can be obtained for a system of particles under generalized coordinates \sum_i \vec{F}_i \cdot \delta \vec{r}_i = \sum_j Q_j \delta q_j with Q_j = \sum_i \vec{F}_i \cdot \frac{\partial \vec{r}_i}{\partial q_j}. What is the significance of Q_j ?

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