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For the three - particle system as shown is figure. Find the rotational interia about an axis perpendicular to the x - y plane and passing through the centre of mass of the system.
  • a)
    35 kg.m2
  • b)
    47 kg.m2
  • c)
    54 kg.m2
  • d)
    63 kg.m2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For the three - particle system as shown is figure. Find the rotationa...
The centre of mass


ycm = 1.37m
The squared distances from the centre of mass to each of the particles are



= 11.74 m2
The rotational inertia then follows directly from
= m1r1+ m2r22 + m3r32
2.3 x 2.62 + 3.2 x 3.4 + 1.5 x 11.74
= 34.516 kg m2
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