A 50-story building is being planned. It is to be 200.0 m

Chapter 3, Problem 62GP

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A 50 -story building is being planned. It is to be  high with a base  by . Its total mass will be about \(1.8 \times 10^{7} \mathrm{~kg}\), and its weight therefore about

\(1.8 \times 10^{8} \mathrm{~N}\). Suppose a \(200-\mathrm{km} / \mathrm{h}\) wind exerts a force of \(950 \mathrm{~N} / \mathrm{m}^{2}\) over the  -wide face (Fig. . Calculate the torque about the potential pivot point, the rear edge of the building (where \(\vec{F}_{E}\) acts in Fig. 9-74), and determine whether the building will topple. Assume the total force of the wind acts at the midpoint of the building's face, and that the building is not anchored in bedrock. [Hint: \(\vec{F}_{E}\) in Fig.  represents the force that the Earth would exert on the building in the case where the building would just begin to tip.]

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Text Transcription:

1.8 \times 10^7 kg

1.8 \times 10^8 N

200 - km / h

950 N / m^2

\vec F_E

\vec F_E