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3. 3D Analysis + Design (10 points): You have been hired by the Carnegie Museum of Art to design the cable suspension system to hang a new piece of art. The specifications provided by the artist and the museum for this installation are as follows: The specifications provided by the artist and the museum for this installation are as follows: The piece of art weighs 100 kg. You may idealize it as a point mass. . The piece of art has attachment points for 3 cables. In order to help prevent it from swinging, all three cables must carry a non-zero tensile load. The piece of art (and cables) must be out of reach for patrons but the artist states that it must still appear "tantalizingly close". (Note: You must interpret this requirement and justify your interpretation) As a nonprofit, the museum would like to minimize the cost of the suspension system. You may use mass as a proxy for cost. The room to be used for the exhibit is cubic with a side length of 10m. Cables may be attached to the ceiling or walls at any point. . . The cables must use 1100 Aluminum with a yield strength of 24.1 MPa. Assume the cables are round and solid. Use a Factor of Safety of 2.0. Specifically, the museum needs (1) the total length of cable to purchase, (2) the diameter of cable to purchase, and (3) a detailed sketch of your suspension system, including clear dimensions for the locations of the attachment points and the art.