2. Find the tensor of inertia for an infinitely thin disc of mass M and radius R, which is placed in the xy plane and rotates about the z axis, passing through the center of the disc. Show your work. Explain your conclusions

Please show formula's used and do step for step, please don't cut out any algebra

Please don't provide handwritten solution ......

Show me the steps to solve 13. Consider a solid cylinder of mass and radius sliding without rolling down the smooth inclined face of a wedge of mass that is free to slide without friction on a horizontal plane floor. Use the coordinates shown in the figure. a. How far has the wedge moved by the time the cylinder has descended from rest a vertical distance ? b. Now suppose that the cylinder is free to roll down the wedge without slipping. How far does the wedge move in this case if the cylinder rolls down a vertical distance ? c. In which case does the cylinder reach the bottom faster? How does this depend on the radius of the cylinder?