A plumb bob (a mass m hanging on a string) is deflected
Chapter 5, Problem 75(choose chapter or problem)
A plumb bob (a mass m hanging on a string) is deflected from the vertical by an angle 6 due to a massive mountain nearby (Fig. 5-44). (a) Find an approximate formula for 6 in terms of the mass of the mountain. mM, the distance to its center. |, 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 4000 m. Assume its mass per unit volume is 3000 kg per m3. (c) Estimate the angle 0 of the plumb bob if it is 5 km from the center of Mt. Everest.
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