A cylinder of radius r=10.0 cm and height h=20.0 cm
floats in equilibrium partially submerged in water with its
lowest point 15.0 cm below the water surface. The density of
water is 1000 kg/m3. Use g=10 m/s2. Find:
a. The buoyant force acting on the cylinder.
b. The weight of the cylinder.
c. The density of the cylinder.
d. If the cylinder is slightly submerged, show that the
motion is simple harmonic and find the period.
Ignore surface tension and viscous friction.