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Dist of CG from surface = (4r3π)
ANSLOM
IT = ∑ of all moments
+Ioθ=−mgsinθ×(4r3π)
sinθ≈θ
∴ Ioθ=−mgθ(4r3π)
Ioθ+mg(4r3π)θ=0
θ+mg(4r3π)θ=0
θ+mg(4r3π)θIo = 0
wn=√mg(4r3π)Io
where =Io=mR22