For problems 4-8 WARP PIPE 5 cm 10 cm 2.5 cm ++ SIDE VIEW 10 cm 2.5 cm +1 TOP VIEW origin + 1.5 cm 10 cm ++ 1.5 cm The warp pipe shown above is made of cast iron, which has a density of 7.87 g/cm. It is symmetric about its central axis (i.e. the cross-sections are circles), and it is open at both ends. 4) If the origin is located in the center-bottom of the warp pipe as shown in the diagram, what is the mass of the warp pipe and how far from the origin is the center of mass of the warp pipe? 5) What is the mass moment of inertia of the warp pipe for rotation about an axis parallel to the y-axis that passes through the center of mass of the warp pipe? 6) What is the mass moment of inertia of the warp pipe for rotation about an axis parallel to the z-axis that passes through the center of mass of the warp pipe?