Object dropped from tower with deflection problem

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Homework Statement


a) An object with mass, m, is dropped from height, h, in a tower located at latitude 30 degrees to the north from the equator. How far will it be deflected? Please derive the deflection in terms of Earth's rotation angular velocity omega, h, g, and m. This part needs complete derivation.

b) Calculate the deflection if h=100m and mass=1kg
 
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