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A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A force $P$ is applied at mid-height on the wardrobe so as to tip it about point $Q$ without slipping. What are the minimum values of the force (in newton) and the static coefficient of friction $μ$ between the floor and the wardrobe, respectively?

  1. $490.5$ and $0.5$
  2. $981$ and $0.5$
  3. $1000.5$ and $0.15$
  4. $1000.5$ and $0.25$
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