A particle of mass (m) slides inside a smooth hemispherical bowl of radius (R). Beginning with spherical
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A particle of mass \(m\) slides inside a smooth hemispherical bowl of radius \(R\). Beginning with spherical coordinates \(r, \theta\) and \(\varphi\) to describe the dynamics, select generalized coordinates, write the Lagrangian, and find the differential equations of motion of the particle.
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