Rotation 1 Question 20

23. Four solid spheres each of diameter 5cm and mass 0.5kg are placed with their centres at the corners of a square of side 4cm. The moment of inertia of the system about the diagonal of the square is N×104kgm2, then N is

(2011)

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Answer:

Correct Answer: 23. (9)

Solution:

  1. r=d2=52cm=52×102mm=0.5kg

IXX=I1+I2+I3+I4

=25mr2+ma22+25mr2

+25mr2+ma22+25mr2

Substituting the values, we get

IXX=9×104kgm2N=9



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