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Questions  

A solid thin metallic disc of radius R is hinged at point O on its rim and freely suspended as shown in the figure. The lower endge of the disc is slightly pulled to the right and released. Then time period of oscillation of the disc is 

a
2π2Rg
b
2πRg
c
2π3R2g
d
π22R3g

detailed solution

Correct option is C

T=2πI0mgrCWhere I0=moment of inertia of the disc about a horizontal axis through O=12mR2+mR2=32mR2rC=Distance of centre of mass from the hinge point O = R∴ T=2π32mR2mg.R=2π3R2g

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