A weightless rod is acted upon by upward parallel forces of \( 2 \m...

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A weightless rod is acted upon by upward parallel forces of \( 2 \mathrm{~N} \) and \( 4 \mathrm{~N} \) at ends \( \mathrm{A} \) and
\( \mathrm{P} \) \( B \) respectively. The total length of the rod \( A B=3 \mathrm{~m} \). To keep the rod in equilibrium a W force of \( 6 \mathrm{~N} \) should act in the following manner:
(1) Downward at any point between A and B
(2) Downward at the midpoint of \( \mathrm{AB} \)
(3) Downward at a point \( \mathrm{C} \) such that \( \mathrm{AC}= \) \( 1 \mathrm{~m} \)
(4) Downward at a point \( \mathrm{D} \) such that \( \mathrm{BD}= \) \( 1 \mathrm{~m} \)
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