(b) The mechanism shown in Figure Q1(b) is initially at rest when an input force F-100 N is applied to the 2-kg left rack to drive the 2-kg right rack to move downward through a 10-kg double gear pivoted at support O. The outer radius and inner radius of the double gear is ro= 200 mm and r= 150 mm, respectively. The centroidal radius of gyration of the double gear is 180 mm. Knowing that the mechanism operates in a vertical plane, determine after 3 s., (1) the angular velocity of the double gear, the velocity of the right rack, (iii) the tangential force between left rack and double gear, and (iv) the tangential force between the double gear and the right rack. (c) Evaluate the effect on the velocity of the right rack if a greater force is applied to the left rack. Justify your answer by using the analysis done in Q1 (b). Figure Q1(b)