Two identical objects each of radii \( R \) and masses \( m_{1} \) and \( m_{2} \) are suspended...
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Two identical objects each of radii \( R \) and masses \( m_{1} \) and \( m_{2} \) are suspended using two strings of equal length \( L \) as shown in the figure \( (R \ll L) \). The angle \( \theta \) which mass \( m_{2} \) makes with the vertical is approximately
[KVPY 2015]
(a) \( \frac{m_{1} R}{\left(m_{1}+m_{2}\right) L} \)
(b) \( \frac{2 m_{1} R}{\left(m_{1}+m_{2}\right) L} \)
(c) \( \frac{2 m_{2} R}{\left(m_{1}+m_{2}\right) L} \)
(d) \( \frac{m_{2} R}{\left(m_{1}+m_{2}\right) L} \)
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