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