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The given figure shows the cross section of a uniform pencil placed on a rough...

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The given figure shows the cross section of a uniform pencil placed on a rough platform The cross section of the pencil is hexagon of side a The platform starts performing S H M perpendicular to length of the pencil in horizontal plane with angular frequency w There is sufficient friction between pencil and platform such that there is not slipping between them The maximum amplitude of oscillation such the pencil does not topple is 2 Finda g

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