MEEN 3120, Spring 2018
28. A solid 1-m-diameter sphere floats at the interface between water (SG=1.0) and mercury (SG=13.56) such that 40 percent is in the water. What is the specific gravity of the sphere?
A. 6.02
B. 7.28
C. 7.78
D. 8.54
E. 12.56
29. A 5-m-diameter balloon contains helium at 125 kPa absolute and 15°C, moored in sea-level standard air. If the gas constant of helium is 2077 m/s^2.K and the balloon material weight is neglected, what is the net lifting force of the balloon?
A. 67 N
B. 134 N
C. 522 N
D. 653 N
E. 787 N
30. A square wooden rod, SG=0.6, 5 cm by 5 cm by 10 m long, floats vertically in water at 20°C when 6 kg of steel (SG=7.84) are attached to one end. How high above the water surface does the wooden end of the rod protrude?
A. 0.6 m
B. 1.6 m
C. 1.9 m
D. 2.4 m
E. 4.0 m
31. A floating body will be stable when its
A. center of gravity is above its center of buoyancy
B. center of buoyancy is below the waterline
C. center of buoyancy is above its metacenter
D. metacenter is above its center of buoyancy
E. metacenter is above its center of gravity