(Solved): Figure 4\r\n5. A load of mass \\( M=15 \\mathrm{~kg} \\) attached to drum \\( D \\) is used to acce ...

Figure 4\r\n5. A load of mass \\( M=15 \\mathrm{~kg} \\) attached to drum \\( D \\) is used to accelerate a flywheel \\( F \\) through a compound gear as shown in Figure B3. Gears A, \\( B, C_{1} \\) and \\( C_{2} \\) have \\( 30,108,180 \\) and 36 teeth, respectively. Drum \\( D \\) and gear A have a moment of inertia \\( 0.85 \\mathrm{kgm}^{2} \\), compound gear \\( \\left(C_{1}+C_{2}\\right) \\) has a moment of inertia \\( 0.5 \\mathrm{kgm}^{2} \\), gear \\( B \\) and the flywheel \\( 1.2 \\mathrm{kgm}^{2} \\) Determine: a) the angular velocity of flywheel \\( F \\), when angular velocity of drum \\( D \\) equals to \\( 12 \\mathrm{rev} / \\mathrm{min} \\); (6 marks) b) distance between the drum and the flywheel shafts if the module is \\( 1 \\mathrm{~mm} \\); (4 marks) Please turn over..... c) the equivalent moment of inertia of the geared system referred to the input shaft (gear A and drum D); (6 marks) d) the acceleration of mass \\( M \\) if diameter of drum \\( D \\) is \\( 20 \\mathrm{~cm} \\) and the resistance torque acting on the flywheel is \\( 150 \\mathrm{Nm} \\).