Solve the all parts of following question:
Question: A metal rod of length 76 cm and mass 1.79 kg has a uniform cross-sectional area of 7.7 cm2. Due to a non uniform density, the center of mass of the rod is 22.2 cm from the right end of the rod. The rod is suspended in a horizontal position in water by ropes attached to both ends.
Part I: What is the tension in the rope closer to the center of mass?
Part II: What is the tension in the rope farther from the center of mass? (Hint: The buoyancy force on the rod effectively acts at the rod's center.)
Please show each step and the equations you used for the above question. Thanks!