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| $$\omega_{\rm wheel} = \dfrac{M_{\rm ethan}}{m_{\rm wheel}}\dfrac{v_{\rm ethan}}{R_{\rm wheel}}$$ | $$\omega_{\rm wheel} = \dfrac{M_{\rm ethan}}{m_{\rm wheel}}\dfrac{v_{\rm ethan}}{R_{\rm wheel}}$$ | ||
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| + | ====== Project 12: Part B: Hanging a Sign ====== | ||
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| + | Your team has been hired to oversee the hanging of a new marquee outside the historic Alamo Drafthouse cinema in Austin, TX. The design calls for the marquee (mass, $200\,{\rm kg}$) to hang from the middle of a steel pole (length, $2.5\,{\rm m}$; mass, $1000\,{\rm kg}$). The pole has one end bolted to the outside of the building and is positioned horizontally. There is a hook from which your team may connect a steel cable (diameter, $1\,{\rm cm}$) to the pole for additional support; hanging the marquee to the pole alone will damage the exterior of the historic building. A hook exists at a height $1\,{\rm m}$ from where the pole would connect to the building. Your team needs to determine if the steel cable you were shipped (stress-strain data shown below) can be used to support this marquee (and where precisely you can hook the cable to the pole). The Greater Austin Historical Society will only allow you to use the existing mount on the exterior of the building. You should also check that the reaction force perpendicular to the wall due to the steel pole doesn' | ||
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