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A hexagonal body lies on a horizontal rough surface. A force \( F \) acts on the side of a hexagonal body as shown in figure. Choose the correct option(s).
\( \mathrm{W} \)
(1) For the toppling, the minimum value of coefficient of friction is \( \frac{1}{2 \sqrt{3}} \).
(2) For the toppling, the minimum value of coefficient of friction is \( \frac{2}{\sqrt{3}} \).
(3) If \( \mu=2 \mu_{\text {min }} \), and applied force \( F=\frac{m g}{\sqrt{3}} \) then angular acceleration of the body is \( \frac{6}{17} \frac{g}{a} \).
(4) If \( \mu=2 \mu_{\text {min }} \), and applied force \( F=\frac{m g}{\sqrt{3}} \), then angular acceleration of the body is \( \frac{6}{5} \frac{g}{a} \).
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