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A tube with thin but uniform cross section has two arms, one straight, othe shaped as a semicircle of radius r. Initially both arms carry an ideal fluid upto a height R. Now the equilibrium is disturbed by pushing the fluid in the left arm by a small amount. Fluid is the released and allowed oscillate. Neglect any friction or viscous forces. If the period of oscillations is found to be T=pisqrt((nR)/(3g)(pi+n)), find the integer value n |
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Answer» `implies(d^(2)x)/(dt^(2))=-((GX)/R)((3//2)/((pi)/2+2))` `implies T=pi sqrt((4R(pi+4))/(3g))` |
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