Problem Statement: You will design a roof-opening mechanism for a convertible car. The roof will require a top length of at least 0.5 m. Position 1 of the roof is shown in Fig. 1. You will design a six-bar mechanism within the base of rotation, as specified in the dimensions of Fig. 2. Ensure that the center of rotation of the mechanism is located on the base of rotation. Additionally, make sure that the linkage does not encroach upon the cabin space. Requirment1: You will decide the Position 2 of the roof. The selection of Position 2 should aim to minimize 'the dead space' within the car. Requirment2: To reduce the wind drag while driving, it is essential to minimize the height above P1 during rotation. Requirment3: Also, the design of mechanism should consider avoiding the interference between window and link. You can extend the roof for better design of the mechanism. Requirment4: The linkage should be free of branch defect or circuit defect. A good design should also take into account other practical considerations such as good transmission angle and reasonable link lengths, etc. 1.3m Base of Rotation P1 Dead space P2-1 (for example) 4.4m Fig. 1. Kinematic drawing of a convertible roof and base of rotation on the sketch of a convertible. 0.92m 0.5m P1 Base of Rotation (0.27x0.55 m) 0.54m Fig. 2. Dimension of roof and base of rotation