Suppose the planet’s rotation speed can be changed. Is it possible to place a plumb line at latitude f: a) parallel to the axis of the world;

Suppose the planet’s rotation speed can be changed. Is it possible to place a plumb line at latitude f: a) parallel to the axis of the world; b) parallel to the horizon line; c) is it possible to change the direction of the plumb line by 180 ° in comparison with its position on a non-rotating planet?

a) Yes; b) yes; c) no. The answers are easy to obtain by considering the action of forces on a plumb line in a topocentric coordinate system.

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