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Q.

The uniform disc shown in the figure has a moment of inertia of 0.6 kg-m2 around the axis that passes through O and is perpendicular to the plane of the page. If a segment is cut out from the disc as shown, what is the moment of inertia of the remaining disc?

 

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a

         (4) 1.5 kg-m2

b

         (2) 5.5 kg-m2

c

         (1) 0.7 kg-m2

 

 

 

d

         (3) 0.5 kg-m2

answer is C.

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Detailed Solution

I=(2π-π3)2πITotal =56(0.6)kg-m2

=0.5 kg-m2

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