Four identical rods of mass \( M=6 \mathrm{~kg} \) each are welded at their ends to form a squar...

Four identical rods of mass \( M=6 \mathrm{~kg} \) each are welded at their ends to form a square and then welded to a massive ring having mass \( m=4 \mathrm{~kg} \) and radius \( R=1 \mathrm{~m} \). If the system is allowed to roll down the incline of inclination \( \theta=30^{\circ} \), determine the minimum value of the coefficient of static friction that will prevent slipping.
The acceleration of the system will be
(1) \( \frac{g}{2} \)
(2) \( \frac{g}{4} \)
(3) \( \frac{7 g}{24} \)
(4) \( \frac{g}{8} \)