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A cylindrical container has mass M and height H. the centre of mass of the empty container is at height (H)/(2) from the base. A liquid, when completley filled in the container, has mass (M)/(2) this liquid is poured in the empty contaienr. (a) How does the centre of mass of the system (container+liquid) move as the height (x) of liquid column changes from zero to H? Explain your answer qualitatively. Draw a graph showing the variation of height of centre of mass of the system (x_(cm)) with x. (b) Find the height of liquid column x for which the centre of mass is at its lowest position.

Answer» <html><body><p><br/></p>Answer :(a) The COM first <a href="https://interviewquestions.tuteehub.com/tag/falls-983294" style="font-weight:bold;" target="_blank" title="Click to know more about FALLS">FALLS</a> attains a minimum <a href="https://interviewquestions.tuteehub.com/tag/height-1017806" style="font-weight:bold;" target="_blank" title="Click to know more about HEIGHT">HEIGHT</a> and then it rises to original height `(<a href="https://interviewquestions.tuteehub.com/tag/h-1014193" style="font-weight:bold;" target="_blank" title="Click to know more about H">H</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)` <br/> (b) `x=(<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(6)-2)H`</body></html>


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