Astronomers discovered a planet in Tucana III galaxy with the same size, mass and direction of rotation of the Earth, but its rotational speed is triple the Earth's rotational speed. (a) Find the equations of motion and the corresponding solutions of a Foucault pendulum with small oscillations on the surface of the discovered planet. (b) Use your solution to find the amount of precession of the Foucault pendulum after 1 complete rotation at latitude 15° N on the discovered planet.

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Astronomers discovered a planet in Tucana III galaxy with the same size, mass and direction of rotation of the Earth, but its rotational speed is triple the Earth's rotational speed. 

(a) Find the equations of motion and the corresponding solutions of a Foucault pendulum with small oscillations on the surface of the discovered planet. 

(b) Use your solution to find the amount of precession of the Foucault pendulum after 1 complete rotation at latitude 15° N on the discovered planet.

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