A uniform vertical cylinder of cross-sectional area 'a' floats, 90% submerged, in an unknown liquid inside a tank -with cross-sectional area four times that of cylinder. When cylinderis pushed down gently and released it performs SHM. The maximum possible amplitude (in cm) for this SHM is

A uniform vertical cylinder of cross-sectional area 'a' floats, 90% su

1.	A uniform vertical cylinder of cross-sectional area 'a' floats, 90% submerged, in an unknown liquid inside a tank -with cross-sectional area four times that of cylinder. When cylinderis pushed down gently and released it performs SHM. The maximum possible amplitude (in cm) for this SHM is
Answer» Solution :Cylinder can perform SHM only TILL it is PARTIALLY SUBMERSED. When cylinder goes down x in GROUND from LIQUID level comes up by x.. (say). `(4a- a) x. = xa rArr x. = x//3` So the centre of the cylinder goes down by (w.r.t. the liquid surface) `(x + x.) = (4)/(3) x le (1)/(10) rArr x le (3l)/(40) = 6 cm`

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A uniform vertical cylinder of cross-sectional area 'a' floats, 90% submerged, in an unknown liquid inside a tank -with cross-sectional area four times that of cylinder. When cylinderis pushed down gently and released it performs SHM. The maximum possible amplitude (in cm) for this SHM is

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