Solution: A plumb bob (a mass m hanging on a string) is

Chapter 6, Problem 6.66

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A plumb bob (a mass m hanging on a string) is deflected fromthe vertical by an angle 6 due to a massive mountain nearby(Fig. 6-30). (a) Find an approximate formula for 6 in terms ofthe mass of the mountain, mM, the distance to its center, Dm ,and the radius and mass of the Earth, (b) Make a rough estimateof the mass of Mt. Everest, assuming it has the shape of a cone4000 m high and base of diameter 4000 m. Assume its massper unit volume is 3000 kg per m3. (c) Estimate the angle 0 ofthe plumb bob if it is 5 km from the center of Mt. Everest.FIGURE 6-30 66.

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