# Compute the area of each of the three sub-regions. Note that the areas of regions R2 and R3…

Compute the area of each of the three sub-regions. Note that the areas of regions R2 and R3 should include the areas of the legs only, not the open space between them. Round answers to the nearest square foot. Determine the mass associated with each of the three sub-regions. Calculate the center of mass of each of the three sub-regions. Now, treat each of the three sub-regions as a point mass located at the center of mass of the corresponding sub-region. Using this representation, calculate the center of mass of the entire platform. Assume the visitor center weighs 2,200,000 lb, with a center of mass corresponding to the center of mass of R3. Treating the visitor center as a point mass, recalculate the center of mass of the system. How does the center of mass change? Although the Skywalk was built to limit the number of people on the observation platform to 120, the platform is capable of supporting up to 800 people weighing 200 lb each. If all 800 people were allowed on the platform, and all of them went to the farthest end of the platform, how would the center of gravity of the system be affected? (Include the visitor center in the calculations and represent the people by a point mass located at the farthest edge of the platform, 70 ft from the canyon wall.)

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