A block of mass \( M=4 \mathrm{~kg} \) of height \( h^{\prime} \) and breath \( b \) is placed o...

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A block of mass \( M=4 \mathrm{~kg} \) of height \( h^{\prime} \) and breath \( b \) is placed on a
\( \mathrm{P} \) rough plank of same mass \( M \). A light inextensible string is connected
\( \mathrm{W} \) to the upper end of the block and passed through a light smooth pulley as shown in figure. A mass \( m=1 \mathrm{~kg} \) is hung to the other end of the string.
Find the minimum value of \( b / h \) so that the block does not topple over the plank, friction is absent between the plank and the ground.
(1) \( \frac{2}{5} \)
(2) \( \frac{4}{9} \)
(3) \( \frac{4}{5} \)
(4) \( \frac{5}{9} \)
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