In this factory scenario, we wish to launch the mass M off of a conveyor belt as far horizontally as possible. This is distance "d" in the diagram, where the previously launched mass is shown on the factory floor. The top of the conveyor belt is 1 meter above the factory floor and the top of the belt is 1 meter long. The system will start from a standstill with the mass at the rear of the belt. JM = 0.1 kg ma M = 10 kg max, Tem = 2 Nm a) What should the radius r of the drive spool be in order to launch the mass as far horizontally as possible? How far can we launch the mass? Assume that the mass does not slip on the conveyor belt. b) How does this change if the mass could slip on the conveyor belt? Assume the coefficient of stiction between the mass and the belt is 0.08 and the corresponding coulomb coefficient is 0.04. You can assume the same drive spool radius as you calculated in part a. Note: This problem is related to the optimal gear ratio concept. In this factory scenario, we wish to launch the mass M off of a conveyor belt as far horizontally as possible. This is distance "d" in the diagram, where the previously launched mass is shown on the factory floor. The top of the conveyor belt is 1 meter above the factory floor and the top of the belt is 1 meter long. The system will start from a standstill with the mass at the rear of the belt. JM = 0.1 kg ma M = 10 kg max, Tem = 2 Nm a) What should the radius r of the drive spool be in order to launch the mass as far horizontally as possible? How far can we launch the mass? Assume that the mass does not slip on the conveyor belt. b) How does this change if the mass could slip on the conveyor belt? Assume the coefficient of stiction between the mass and the belt is 0.08 and the corresponding coulomb coefficient is 0.04. You can assume the same drive spool radius as you calculated in part a. Note: This problem is related to the optimal gear ratio concept