The period of vibration for a barrel floating in salt water is found to be 0.58 s when the...

The period of vibration for a barrel floating in salt water is found to be 0.58 s when the barrel is empty and 1.8 s when it is filled with 55 gallons of crude oil. Knowing that the density of the oil is 900 kg/m3, determine (a) the mass of the empty barrel, (b) the density of the salt water, ρsw. [Hint: The force of the water on the bottom of the barrel can be modeled as a spring with constant k = ρswgA.]

Fig. P19.26