Year: 2025
Topic: Mechanical properties of fluids
Time :
1.
Consider a water tank shown in the figure.It has one wall at x = L and can be taken to be very wide in the Z direction.When filled with a liquid of surface tension S and density P, the liquid surface makes angle \(\theta_0\).(\(\theta_0 \,<<\,1\)) with the x-axis at x = L. If y(x) is the height of the surface then the equation for y(x) is
(take \(\theta \left(\text{x} \right)\,=\, sin\theta \left(\text{x} \right)\,=\,tan\theta \left(\text{x} \right)\,=\, \frac{\text{dy}}{\text{dx}} \text{, g}\) is the acceleration due to gravity)
(take \(\theta \left(\text{x} \right)\,=\, sin\theta \left(\text{x} \right)\,=\,tan\theta \left(\text{x} \right)\,=\, \frac{\text{dy}}{\text{dx}} \text{, g}\) is the acceleration due to gravity)