Problem 4 The compound gear train of a three stages reduction gear is use to transmit power from a power source to a drum with 1 meter in diameter, as shown in Figure P4. The power source generates 500 Nm torque at the speed of 500 rpm and can produce acceleration of 10 rad/s². Assume there is no friction in the drum, mass of the cable is negligible and the cable is in-elastic. With this condition, determine the following. Angular velocity and acceleration of the drum. i ii. Power required to overcome the friction torque in the bearing. iii. Power required to accelerate the inertia of the gear system. iv. Load M that the drum can lift. [1.05 rad/s; 0.2 rad/s; 1.13 kW; 2.12 kW; 3,221.7 kg] Drum2 Drum 1 > > ☑ ☑ 区 Power source (1) Load, M (5) (4) Figure P4 Given:- Number of gear teeth, t:- t₁-40; t₂-100;t=40; t₁-160 ts-40; t=200 Equivalent mass moment of inertia, Ieg:- Ipower source =2 kgm²; Igear 23-10 kgm²; Igear 45-20 kgm2; Igear 6 & drum-40 kgm² Friction torque in bearing, F:- FA=5 Nm; FB-Fc=10 Nm; Fo-F-20 Nm; Fp=FG-50 Nm. Efficiency of all gear mesh, 1:- 12 134 156-90%