A force of $40 \mathrm{~N}$ acts on a point $\mathrm{B}$ at the end of an L-shaped object, as shown in the…

A force of $40 \mathrm{~N}$ acts on a point $\mathrm{B}$ at the end of an L-shaped object, as shown in the figure. The angle $\theta$ that will produce maximum moment of the force about point $\mathrm{A}$ is given by:
  1. $\tan \theta=\frac{1}{4}$
  2. $\tan \theta=2$
  3. $\tan \theta=\frac{1}{2}$
  4. $\tan \theta=4$

Solution

To produce maximum moment of force line of action of force must be perpendicular to line $\mathrm{AB}$.
$\therefore \tan \theta=\frac{2}{4}=\frac{1}{2}$

Asked in: JEE Main 2018 (15 Apr Shift 1 Online)

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