1.) The counterweight C and Box B are connected to each other through a cord and pulley system, where the cord is wrapped around the circumference of the pulley wheel with centre W, as demonstrated in Fig. 1. B h Drop-off point D Figure 1 The mass of the pulley wheel is 20 kg, its radius is 0.4m and its radius of gyration (kw) is 0.2m The mass of the counterweight C is 15 kg The mass of the Box B is 10 kg Friction conditions are: us = 0.4 and uk = 0.3 for the surfaces involved. Provided that the system is initially at rest where the height h is 3m, please: a) Derive the kinematic relations, relating velocities and positions of C, B and angular velocity of the wheel b) Determine which forces acting on the system are doing work, stating your reasons. Determine how far the counterweight moves in the horizontal plane. Using the principle of work and energy, calculate the velocity of the off point D c) Review your findings, discussing their effects on the Box B and the Counterweight C. Determine what parameters are critical for the design of as it reaches the dren the system. Elaborate on what adjustments could be done on the system view to improve the system and reduce the risk of Box B getting damaged as it reaches the drop off point D and to reduce the risk of damage with to Counterweight c