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A rigid body shown in the Fig(a) has a mass of 10 kg. It rotates with a uniform angular velocity 'ω' A balancing mass of 20 kg is attached as shown in Fig(b) . The percentage increase in mass moment of inertia as a result of this addition is
  • a)
    25%
  • b)
    50% 
  • c)
    100%
  • d)
    200%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rigid body shown in the Fig(a) has a mass of 10 kg. It rotates with ...
Given: First Mass, mi = 10 kg
Balancing Mass, m2 = 20 kg
We know the mass moment of inertia, I = mk2
Where, k = Radius of gyration
Case (I): When mass of 10 kg is rotates with uniform angular velocity 'ω' 
The moment of inertia I1= m1k12
I1 = 10 x (0.2)2 k1= 200 mm = 0.2 meter
= 10 x 0.04 = 0.4 kg m2
Case (II): When balancing mass of 20 kg is attached then moment of inertia
I2 = 10 x (0.2)2 + 20 x (0.1)2 Here ;Q. = 0.2m
= 0.4 + 0.2 = 0.6 and k2= 0.1m
Percent increase in mass moment of inertia, 
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A rigid body shown in the Fig(a) has a mass of 10 kg. It rotates with a uniform angular velocity 'ω'A balancing mass of 20 kg is attached as shown in Fig(b) . The percentage increase in massmoment of inertia as a result of this addition isa)25%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer?
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