A man of mass \( m \) has fallen into a ditch of width \( d \). Two of his friends are slowly pu...

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A man of mass \( m \) has fallen into a ditch of width \( d \). Two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in figure. Both the friends exert force of equal magnitudes \( F \)
When the man is at a depth \( h \), the value of \( F \) is
(a) \( \frac{m g}{4 h} \sqrt{d^{2}+4 h^{2}} \)
(b) \( h m g \)
(c) \( d m g \)
(d) \( \frac{m g}{2 h} \sqrt{h^{2}+d^{2}} \)
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