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

Chapter 5, Problem 7SL

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A plumb bob (a mass  hanging on a string) is deflected from the vertical by an angle \(\theta\) due to a massive mountain nearby (Fig. 5-51). (  ) Find an approximate formula for \(\theta\) in terms of the mass of the mountain, \(m_{M}\), the distance to its center, \(D_{M}\), 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  high and base of diameter . Assume its mass per unit volume is  per \(m^{3}\). (c) Estimate the angle \(\theta\) of the plumb bob if it is  from the center of Mt. Everest.

Equation Transcription:

Text Transcription:

theta

theta

m_M

D_M

m^3

D_M

theta

m vector g

vector F_M

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