As the design engineer conducting the dynamics analysis on a helicopter (an exemplar model demonstrated in Fig. 3), you are focusing your analysis on the case that the rear propeller is out of operation. The helicopter that you are analysing has two main and two rear blades, which can be modelled as slender rods. The mass moment of inertia of the cab is 2000 kg m2 and the blade speed is calculated relative to it. Figure 3 In the special case that the vertical tail propeller fails (which is the system that eliminates rotational motion of the cab during blade speed changes) please: a) Research and assume values for the length and mass of the main blades, calculating the moment of inertia of the blades b) Research and assume a typical angular speed value for the main blades and calculate the angular velocity of the cab if the angular speed increased 100 rpm from this speed c) If the vertical tail propeller is operational, how would this affect your calculations? Could you use the same principles that you have used in part b)? Why, why not? Demonstrate your explanations numerically, using