Question 129 of 280

A force of $40N$ acts on a point $B$ at the end of an L-shaped object as shown in the figure. The angle $\theta$ that will produce the maximum moment of the force about point $A$ is given by:

A$\tan ⁡\theta =4$B$\tan ⁡\theta =\dfrac{1}{4}$C$\tan ⁡\theta =\dfrac{1}{2}$D$\tan ⁡\theta =2$

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Answer: (C) $\tan ⁡\theta =\dfrac{1}{2}$

Moment of force will be maximum when the line of action of force is perpendicular to line $AB$, $\tan ⁡\theta =\dfrac{2}{4}=\dfrac{1}{2}$.