A cylindrical cork of radius R=1.5cm height d = 0.75cm and specific gravity of 0.24 floats at an air -water interface.
a) How far below the surface of the water is the bottom of the cork in equilibrium.
b) At time t= 0, a small of aluminium bead of mass m= 1.0gm is placed on top of the cork while imparting a downward velocity of v0 = 10cm/s to the combined cork and head system. Neglecting any friction or water flow induced with the motion of the cork, compute the dept y(t) of the bottom of the cork for all t> 0 and sketch its form. What is the maximum depth and at what time is it first reached. What is the minimum depth and at what time is it first reched?