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Q.

A uniform disc of mass ‘m’ and radius ‘R’ is pivoted at the centre ‘O’ with its plane vertical as shown in fig. A circular portion of disc of radius  R2 is removed from it as shown. The time period of small oscillation of remaining portion about ‘O’ is

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a

2π39R16g

b

π13Rg

c

3πRg

d

2π52R7g

answer is B.

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Detailed Solution

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T=2πImgycm,  m=3M4

I=MR22−(12M4R24+M4R24)=13MR232

Ycm=R2/4R+R/2+R=7R/6

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