A block is kept over a horizontal platform- executive vertical SHM of angular frequency - Find maximum amplitude of oscillations- so that the block does not leave contact with the platform-

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Standard XII

Physics

Wave Equation

A block is ke...

Question

A block is kept over a horizontal platform, executive vertical $S H M$ of angular frequency $ω$ . Find maximum amplitude of oscillations, so that the block does not leave contact with the platform.

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Solution

We know that acceleration is given as
$a_{m a x} = - w^{2} A$
From $F = - m w^{2} A$
This force should be less than $m g$ so
$m w^{2} A < m g$
$A < \frac{g}{w^{2}}$

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A block is kept over a horizontal platform, executive vertical SHM of angular frequency ω. Find maximum amplitude of oscillations, so that the block does not leave contact with the platform.

We know that acceleration is given asamax=−w2AFrom F=−mw2AThis force should be less than mg somw2A<mgA<gw2

A block is kept over a horizontal platform, executive vertical $S H M$ of angular frequency $ω$ . Find maximum amplitude of oscillations, so that the block does not leave contact with the platform.

We know that acceleration is given as
$a_{m a x} = - w^{2} A$
From $F = - m w^{2} A$
This force should be less than $m g$ so
$m w^{2} A < m g$
$A < \frac{g}{w^{2}}$