10_InstSolManual_PDF_Part32 - 10-32 Chapter 10 10.80 Set Up...

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10.80. Set Up: The forces on the roof are shown in Figure 10.80. V and H are the vertical and horizontal forces each wall exerts on the roof. Figure 10.80 Solve: gives and gives By Newton’s third law, the roof exerts a horizontal, outward force on the wall. For torque about an axis at the lower end of the wall, at the ground, this force has a larger moment arm the higher the wall. The torque on the walls is larger for taller walls and the building with taller walls is in more danger of collapsing. 10.81. Set Up: The thermal energy developed equals the decrease in kinetic energy of the system. The angular momentum of the system is conserved. Solve: gives and and Reflect: Angular momentum is conserved because there is no external torque due to the force that pushes the shafts together, but the friction forces in the clutch mechanism do negative work and remove kinetic energy. 10.82. Set Up:
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