Classical Mechanics problem: Suppose you are on a perfectly spherical planet and measure the free-fall acceleration...

Classical Mechanics problem:

Suppose you are on a perfectly spherical planet and measure the free-fall acceleration to be g = g₀ at the North Pole. (This planet is not necessarily Earth!) At the equator, you measure g = λg₀ (with 0 ≤ λ ≤ 1). Find g(θ), the free-fall acceleration at colatitude θ as a function of θ.

Expert Solution

Solution :

Let be a unit radial vector of cylindrical frame of reference and be the spherical coordinate. Consider the following diagram.

genius_generous answered 1 year ago

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