A uniform disc of mass M and radius R is supported vertically by a pivot at its periphery as shown. A particle of mass M is fixed to the rim and raised to the highest point above the centre. The system is then released from rest and it can rotate about its pivot freely. The angular speed of the system when the attached object is directly beneath the pivot is
1
\(\sqrt{\frac{24 \mathrm{~g}}{11 \mathrm{R}}}\)
2
\(\sqrt{\frac{8 \mathrm{~g}}{11 \mathrm{R}}}\)
3
\(\sqrt{\frac{8 \mathrm{~g}}{3 \mathrm{R}}}\)
4
\(\sqrt{\frac{3 \mathrm{~g}}{8 \mathrm{R}}}\)