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Motion on a Sphere

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Motion on a sphere.

A particle of mass m is constrained to move on the surface of a sphere of radius R by an applied force F (a vector) and a function of Theta, Phi.

Write the equation of motion.

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Solution Summary

The expert writes an equation of motion for a particle on a sphere. The applied force and function is determined.

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Please see the attached files.

In a general case, the acceleration in spherical coordinates can be written as
(1)
As it is derived on web page ...

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