Find maximum amplitude for safe SHM (block does not topple during SHM ) of a cubical block&nbsp

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13.Oscillations

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Find maximum amplitude for safe $SHM$ (block does not topple during $SHM$) of $a$ cubical block of side $'a'$ on a smooth horizontal floor as shown in figure (spring is massless)

A

$\frac{{mg}}{{3K}}$

B

$\frac{{3mg}}{K}$

C

$\frac{{2mg}}{{3K}}$

D

None

Solution

$\tau=0, \quad K x\left(\frac{a}{6}\right)=\frac{N a}{2} \Rightarrow K x \frac{a}{6}=m g \frac{a}{2} \Rightarrow x=\frac{3 m g}{K}$

Standard 11

Physics

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