Consider a system made up of three objects: a solid uniform disk of mass 6.0 kg with a diameter of 2.0 meters, and two small point masses each with a mass of 2.0 kg and xed at various angles along the rim of the disk, as shown in the gure below. The origin of a reference coordinate system is placed at the center of the large disk. ."\\ y 00 40% Part a: Q: Find the (x, y) coordinates of the center of the mass of this system. (Hint: don't forget that the large disk also has mass' and you can do your calculation imagining that its mass is concentrated at its center, where the origin of the coordinate system is located). Part b: You wish to shift the center of mass ofthe above system directly to the origin ofthe coordinate system given (the disk's center) by adding an additional 4.0 kg point mass somewhere on the disk. 0: Determine the (icy) coordinates of where on the disk you should locate this additional point mass, in order to shift the center of mass of the (original) system to the coordinate system origin? 1. Getting Started State the important information and summarize the problem. If possible, include a diagram. Note any assumptions you're making. 2. Devise Plan Devise a plan of attack before diving into the solution. Break down the problem into smaller, manageable segments. Identify which physical relationships you can apply. 3. Execute Plan Carry out your plan, explaining each step. The argument should be easy to follow. Articulate your thought process at each step {including roadblocks). Any variables should be clearly defined, and your diagrams should be labeled. 4. Evaluate Solution Check each solution for reasonableness. There are many ways to justify your reasoning: check the symmetry of the solution, evaluate limiting or special cases, relate the solution to situations with known solutions, check units, use dimensional analysis, and/or check the order of magnitude ofan answer. Note: If you got stuck in the Execute Plan stage and there is no solution to evaluate, you should still attempt to use estimation skills to get a feeling for what would constitute a reasonable answer to the problem. So never leave this section blank