Two different views of the same system are shown in Figs. 7A and 7B. The system's rigid bodies are labeled 1, 2, 3, and 4 in the figure. 3 2 2 3 4 1 1 4 (A) (B) Figure 7: Flexure system of Question 7 a) If body 1 is the fixed ground and body 3 is the system's stage, is the system exactly- or over-constrained? Is the system under-constrained or not under-constrained? Explain your answers. b) If body 1 is the fixed ground and body 3 is the system's stage, what is the freedom space of the stage? Please use the convention in the FACT chart to give your answer (i.e., X DOF Type Y). Clearly draw the effective constraint space of this stage (i.e., the complementary constraint space of the stage's freedom space) on Fig. 7A. If you do not use color, clearly label the color of each set of lines or lines with circular arrows about their axes. c) If body 1 is the fixed ground and body 4 is the system's stage, is the system exactly- or over-constrained? Is the system under-constrained or not under-constrained? Explain your answer. d) If body 1 is the fixed ground and body 4 is the system's stage, what is the freedom space of the stage? Please use the convention in the FACT chart to give your answer (i.e., X DOF Type Y). Clearly draw this freedom space on Fig. 7B. If you do not use color, clearly label the color of each set of lines or arrows. e) If body 1 is the fixed ground and body 4 is the system's stage, what is the effective freedom space of body 3 if the stage is held fixed with respect to the ground? Please use the convention in the FACT chart to give your answer (i.e., X DOF Type Y). You do not need to draw this freedom space. f) If body 1 is the fixed ground and body 4 is the system's stage, what is the effective freedom space of body 2 if the stage is held fixed with respect to the ground? Please use the convention in the FACT chart to give your answer (i.e., X DOF Type Y). You do not need to draw this freedom space. g) If bodies 1, 2, and 4 are the system's new ground and body 3 is the system's stage, what is the freedom space this stage? Please use the convention in the FACT chart to give your answer (i.e., X DOF Type Y). You do not need to draw this freedom space. h) If bodies 1, 2, and 4 are the system's new ground and body 3 is the system's stage, is the system exactly- or over-constrained? Explain your answer. i) If bodies 1, 2, and 4 are the system's new ground and body 3 is the system's stage, is the system under-constrained or not under-constrained? Explain your answer.