A cubical block is partially submerged in water. Now a very small displacement is given to the body in the vertical direction the choose the correct statement regarding the velocity time graph,

It can be sinusoidal

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It must be linear

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It must be quadratic in nature

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None of the above

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Solution

The correct option is D It can be sinusoidal
Consider an example, push a block by a distance x floating on water half submerged.
Net restoring force generated
$F = v d g$
$F = A x d g$
As $F \propto$ x then the motion is SHM and sinusoidal in nature but for larger value of x it will be a damped oscillation on rather than a SHM.

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