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A cubical block of side L and mass m is placed on a horizontal floor. In the arrangement as shown, a force F is applied at the end of the plane sheet PQ which is firmly attached with the block. What should be the minimum value of PQ so that block may be tipped about an edge?

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$L \sqrt{3} / \sqrt{2}$

$L / \sqrt{2}$

$L / \sqrt{3}$

$L \sqrt{2} / 3$

answer is A.

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Detailed Solution

Block will be tipped about point O.

$\begin{array}{l} M_{o} = (F \cos 30^{\circ}) a = F \sin 30^{\circ} L + m g L / 2 \\ F = \frac{m g L}{(a \sqrt{3} - L)} \end{array}$

For $F > 0, a \sqrt{3} > L; a \geq L / \sqrt{3}$

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