Consider a rectangular block with a height h and croms-sectional area A floating in a tank of water
h
h
Figure 1: The block partially submerged in water
a) Assume that, in equilibrium, half of the volume of the block is submerged. What is the density of the
block?
b) Now assume that the center of the block is lifted up a beight y yo (with yo < h/2). Draw a free-body
diagram, and write an equation for the net force on the block?
c) We know from the study of the SHO that a linear restoring forc
h
h
Figure 1: The block partially submerged in water
a) Assume that, in equilibrium, half of the volume of the block is submerged. What is the density of the
block?
b) Now assume that the center of the block is lifted up a beight y yo (with yo < h/2). Draw a free-body
diagram, and write an equation for the net force on the block?
c) We know from the study of the SHO that a linear restoring forc
