Question: A plumb bob (a mass m hanging on a string) is deflected from the vertical by an angle due to a massive mountain nearby (Fig.

A plumb bob (a mass m hanging on a string) is deflected from the vertical by an angle due to a massive mountain nearby (Fig. 5-44).
(a) Find an approximate formula for θ in terms of the mass of the mountain, mM, the distance to its center, Dm, and the radius and mass of the Earth.
(b) Make a rough estimate of the mass of Mt. Everest, assuming it has the shape of a cone 4000 m high and base of diameter 4000m. Assume its mass per unit volume is 3000 kg per m3.
(c) Estimate the angle θ of the plumb bob if it is 5 km from the center of Mt. Everest.

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