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An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If $AB = BC$, and the angle made by $AB$ with downward vertical is $\theta$, then:
(1) $\tan\theta = \frac{1}{2\sqrt{3}}$
(2) $\tan\theta = \frac{1}{2}$
(3) $\tan\theta = \frac{2}{\sqrt{3}}$
(4) $\tan\theta = \frac{1}{3}$
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