Straight wooden rod of mass 6.0 kg, uniform cross-section 7cm2, and constant density 700 kg has a very small mass0.8 kg attached to its one end. The rod is partially submerged inwater of density 990kg/m3.  While inequilibrium, the rod floats in a vertical position with large partof it submerged. The rod is then pushed down by distanceymax from equilibrium and released resulting in itsoscillation neat the surface of teh water.
(Assuming no drag forces are acting in this situation) andtaking g to be 9.8 m/s2
A) Use the first principles to demonstrate that such system canbe treated as Simple Harmonic Oscillator. ( Paper solution!!!)
B) Find the rod's period of oscillations to the nearestthousandth of a second.
( Enter this value into the answer box without units).
In addition to entering your final numerical answer into thebox, make sure that you write your solution neatly starting withthe clear diagram and all variables on it.
Solve this problem in detail on paper. Please annotate yoursolution -- make short comments/ arguments for steps you aremaking.
