A ring is formed by joining two uniform semi circular rings $ABC$ and $ADC$. Mass of $ABC$ is thrice of that of $ADC$. If the ring is hinged to a fixed support ,at $A$, it can rotate freely in a vertical plane. Find the value of $tan\,\theta$, where $\theta$ is the angle made. by the line $AC$ with the vertical in equilibrium
A ring is formed by joining two uniform semi circular rings $ABC$ and $ADC$. Mass of $ABC$ is thrice of that of $ADC$. If the ring is hinged to a fixed support ,at $A$, it can rotate freely in a vertical plane. Find the value of $tan\,\theta$, where $\theta$ is the angle made. by the line $AC$ with the vertical in equilibrium
- A
$\frac{{9\pi }}{4}$
- B
$\frac{{1 }}{\pi}$
- C
$\frac{{2 }}{3\pi}$
- D
$\pi$
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