traight wooden stick of mass M, Length L, uniform cross-section A, and constant density pwood with as small mass m attached to its one end, is partially submerged in water (density p of water which is 997kg/m^3). While in equilibrium, the stick will float in a vertical position with large part of it submerged. The stick is then pushed down by distance ymax from the equilibrium and released. (Assume no drag forces are acting in this situation). A) Using first principles demonstrate that such system can be treated as Simple Harmonic Oscillator. B) Find its period of oscillations.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Straight wooden stick of mass M, Length L, uniform cross-section A, and constant
density pwood with as small mass m attached to its one end, is partially submerged
in water (density p of water which is 997kg/m^3). While in equilibrium, the stick will float in a vertical
position with large part of it submerged. The stick is then pushed down by
distance ymax from the equilibrium and released. (Assume no drag forces are acting in this situation).
A) Using first principles demonstrate that such system can be treated as Simple Harmonic Oscillator.
B) Find its period of oscillations.
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