A cubical box of side a sitting on a rough table-top is pushed horizontally with a gradually inc...
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A cubical box of side a sitting on a rough table-top is pushed horizontally with a gradually increasing force until the box moves. If the force is applied at a height from the table top which is greater than a critical height \( H \), the box topples first. If it is applied at a height less than \( H \), the box starts sliding first. Then the coefficient of friction between the box and the table top is
[KVPY 2009]
(a) \( \frac{a}{2 H} \)
(b) \( \frac{2 H}{a} \)
(c) \( \frac{a}{H} \)
(d) \( \frac{H}{a} \)
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