Object dropped from tower with deflection problem

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The discussion focuses on calculating the deflection of an object dropped from a height of 100 meters at a latitude of 30 degrees north. It requires deriving the deflection in terms of Earth's angular velocity, gravitational acceleration, height, and mass. The participants emphasize the importance of including all relevant variables in the derivation. A specific calculation for a 1 kg mass is requested, highlighting the need for precise mathematical modeling. The conversation aims to clarify the physics behind the deflection caused by Earth's rotation.
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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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Homework Equations

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