A Problem on Simple Harmonic Oscillations

AI Thread Summary
The discussion centers on the motion of water in a 'U' shaped tube when disturbed, questioning whether this motion qualifies as simple harmonic motion. The acceleration of the water is described by the formula acceleration = (g/h)y, indicating a direct relationship between force, mass, and displacement. The time period of the oscillation is given as T = 2π/w, with w calculated as (g/h)^-1/2. A suggestion is made to derive the equation of motion using Newton's second law to clarify the dynamics involved. The conversation emphasizes the importance of understanding the forces acting on the water to determine the nature of its oscillation.
Hareesh
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A 'U' shaped tube is partially filled with water. If the water inside it is disturbed from one end does it begins to move up and down. Does this motion is simple harmonic.
Accelaration = force/mass = (g/h)y
Time period T = 2pi/w
w=(g/h)^-1/2
 
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Hareesh said:
Accelaration = force/mass = (g/h)y
Time period T = 2pi/w
w=(g/h)^-1/2

Hi Hareesh! :smile:

I don't understand what you've done here. :confused:

Hint: for this sort of problem, the first thing to do is to find the equation of motion …

in this case, use Newton's second law F = ma to relate the forces on the water to its position. :wink:

(assume that the water more than fills the 'U', so the surface is in the two straight parts of the tube)
 

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