Consider the reverted compound helical gear train shown with the given numbers of teeth. The normal module of Gear 1 is 3.5 mm and the normal module of Gear 3 is 5 mm. Gear 1 has left-hand helix and Gear 3 has right-hand helix. The helix angle of Gear 1 is 25. The input shaft is driven at a speed of 300 rpm by a motor that delivers a power of 5 kW. Looking from the left side of the figure, the output shaft rotates clockwise (CW). Note that shaft AB is parallel to input and output shafts, and assume 100% efficiency for each gear pair. All gears have stub depth teeth with normal pressure angle of 20. Output Gear 4 40 teeth Gear 3 Gear 1 20 teeth 24 teeth Gear 2 Input 60 teeth B Answer the following questions: (a) Calculate the helix angle for Gear 3. [4 M] (b) Calculate the pitch diameters for Gears 1 and 3. [2 M] (c) What are the helix angles for Gears 2 and 4? [2 M] (d) What is the hand of Gear 2 and that of Gear 4? [2 M] (e) Considering the axes-system given in the picture, what is the direction of the axial force on Gear 2 and that on Gear 4? [3 M] (f) Calculate all the forces acting on Gear 2. [4 M] (g) Draw a free body diagram of Gear 2 showing all the forces calculated above in their proper directions as per the given axes-system. [3 M]