Express the Lagrangian for a free particle moving in a plane in a plane polar coordinates. From this proves that, in terms of radial and tangential components, the acceleration in polar coordinates is a = (¨r − rθ˙2) er + (rθ¨ + 2 r˙ θ˙) eθ (where er and eθ are unit vectors in the positive radial and tangential directions).
Express the Lagrangian for a free particle moving in a plane in a plane polar coordinates. From this proves that, in terms of radial and tangential components, the acceleration in polar coordinates is a = (¨r − rθ˙2) er + (rθ¨ + 2 r˙ θ˙) eθ (where er and eθ are unit vectors in the positive radial and tangential directions).
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Express the Lagrangian for a free particle moving in a plane in a plane polar coordinates. From this proves that, in terms of radial and tangential components, the acceleration in
polar coordinates is
a = (¨r − rθ˙2) er + (rθ¨ + 2 r˙ θ˙) eθ
(where er and eθ are unit vectors in the positive radial and tangential directions).
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