Hook Pendulum in Polar

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I solved the problem of a pendulum with a elastic link in a Cartesian coordinate system. But I can not solve this problem in the polar coordinate system. I ask for help from the community! Mathcad 15 in Attach!

2_Pendulum-1-Polar-Hook.zip

1_Pendulum-1-X-Y-Hook.zip

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-MFra-

21-Topaz II

Hi,
at first glance, unless you justify the written equations, the transformation from Cartesian coordinates to polar coordinates does not seem correct to me, even in the approximation of small oscillations.

Regards.

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Hook Pendulum in Polar

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