A weightless rod is acted on by upward parallel forces of \( 2 \mat...

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