Suppose that a ceramic cup floats in water, as is in the figure below. The height...

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Suppose that a ceramic cup floats in water, as is in the figure below. The height of the cylindrical cup equals its diameter (2R), and its walls are thin (W < < R). Its rim rests at a height H above the water surface. Air P = Po Water P 2R R H W Ceramic Po Figure 2. A ceramic cup floating in water. a. Find an expression for the specific gravity of the empty ceramic cup using R, H, and W. Note: you may assume W < < R for the displaced volume, but the volume of the ceramic cup will depend on W. b. What is the S.G. of the cup if W/R = 0.1 and the cup is submerged (i.e., H = R/2)? c. For what values of S.G. would the cup never float, even when empty? Suppose that a ceramic cup floats in water, as is in the figure below. The height of the cylindrical cup equals its diameter (2R), and its walls are thin (W < < R). Its rim rests at a height H above the water surface. Air P = Po Water P 2R R H W Ceramic Po Figure 2. A ceramic cup floating in water. a. Find an expression for the specific gravity of the empty ceramic cup using R, H, and W. Note: you may assume W < < R for the displaced volume, but the volume of the ceramic cup will depend on W. b. What is the S.G. of the cup if W/R = 0.1 and the cup is submerged (i.e., H = R/2)? c. For what values of S.G. would the cup never float, even when empty?