$A$ and $B$ are two like parallel forces. A couple of moment $\mathrm{H}$ lies in the plane of $A$ and $B$…

$A$ and $B$ are two like parallel forces. A couple of moment $\mathrm{H}$ lies in the plane of $A$ and $B$ and is contained with them. The resultant of $A$ and $B$ after combining is displaced through a distance
  1. $\frac{2 \mathrm{H}}{\mathrm{A}-\mathrm{B}}$
  2. $\frac{H}{A+B}$
  3. $\frac{H}{2(A+B)}$
  4. $\frac{H}{A-B}$

Solution

$ \begin{aligned} & (A+B)=d=H \\ & d=\left(\begin{array}{c} H \\ A+B \end{array}\right) . \end{aligned} $

Asked in: JEE Main 2005

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