You are to design a lead screw mechanism to lift a mass vertically up. A DC motor is provided to each group. The DC motor specifications are max. voltage of 12V, rated (maximum) current of 2.5 A and max. rotation speed of 2000 rpm. T8 Lead Screw (304 stainless material) .Coupling specification: example internal diameter = 3 to 8 mm. 5. Using the knowledge from the lecture, develop the mathematical modelling of the vertical lifting mechanism of the lead screw. a. Determine the minimum lead screw diameter using the motor data. b. Determine the maximum mass of load that can be lifted by motor-screw mechanism. c. Determine the friction coefficient, when the mass is 90 g at the maximum rated power of 30W. d. Determine the moment of inertia, I of the lead screw. e. Using the value of I, determine the torque value and compare it with the value obtained from the previous motor-screw calculation I alime ww