Question

A wooden cylinder has the dimension: diameter, d = 40 cm and height, hcyl = 40 cm. The specific gravity of the wooden cylinder is 0.6. A copper disc, with a diameter of 40 cm and height, hcu = 1 cm, is rigidly attached to the bottom end of the wooden cylinder. The specific gravity of the copper disc is 8.8. The combination of the wooden cylinder and copper disc is placed in the water with their axis are in a vertical position.

(i) Calculate the height of the combined body, which is below the water surface.

(ii) If the height of the copper is to be changed, determine its minimum value so that the combined body is fully submerged.

Answer 1