Project Case: You are hired to design a robot arm that can catch spherical objects when they fall. In Figure 1 the robot arm is connected to the ceiling above the inclined plane with a purpose to catch the uniform spherical object when it starts to move downwards. The friction coefficient between the sphere and the inclined plane is enough to provide a smooth rolling without slipping. Robot arm always grabs the sphere from its equatorial plane parallel to the inclined plane. There is no friction between the pincer of the robot 1 and the sphere, so, when the sphere is grabbed, it can be pulled up by rolling on the inclined surface. When the sphere is released without an initial velocity; A) What physical properties and methods would you use to minimize the power consumption and increase the mechanical efficiency of the robot arm? Express your answers by implementing the concepts that we have covered in the class and mathematically show how your newly assigned values would increase or decrease the desired properties. M F 7 Figure 1. Schematic illustration of a ball catching robot tha is attached to the ceiling above the inclined plane. Robot arm detects the movement of the ball with a negligible lag and catches it instantly. The inner surface of the pincher is lubricated so the ball is free to roll when grabbed. H