Two blocks having masses \( 8 \mathrm{~kg} \) and \( 16 \mathrm{~kg} \) are connected to the two...

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Two blocks having masses \( 8 \mathrm{~kg} \) and \( 16 \mathrm{~kg} \) are connected to the two ends of a light spring. The system is placed on a smooth horizontal floor. An inextensible string also connects \( B \) with ceiling as shown in the figure at the initial moment. Initially the spring has its natural length. A constant horizontal force \( F \) is applied to the heavier block as shown. What is the maximum possible value of \( F \) (in \( \mathrm{N} \) ) so the lighter block does not loose contact with ground.
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