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The moment of inertia of a uniform sphere of radius ‘r’ about an axis passing  through its centre is given by  .A rigid sphere of uniform mass density ‘p ’ & radius ‘R’ has two smaller spheres of Radii  hollowed out of it as shown in the figure given below.

The moment of inertia of the resulting body about y-axis if R = 2.5 m & p = 4.6 kg/m3 is
Correct answer is '620'. Can you explain this answer?
Verified Answer
The moment of inertia of a uniform sphere of radius ‘r’ ab...
Let I is the moment of inertia of bigger sphere.
Then ; 
for small sphere of R/2 about its centre,

Moment of inertia for this sphere about y-axis

For second sphere 
total 



I = 620  
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The moment of inertia of a uniform sphere of radius ‘r’ about an axis passing through its centre is given by .A rigid sphere of uniform mass density ‘p ’ & radius ‘R’ has two smaller spheres of Radii hollowed out of it as shown in the figure given below.The moment of inertia of the resulting body about y-axis if R = 2.5 m & p = 4.6 kg/m3 isCorrect answer is '620'. Can you explain this answer?
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The moment of inertia of a uniform sphere of radius ‘r’ about an axis passing through its centre is given by .A rigid sphere of uniform mass density ‘p ’ & radius ‘R’ has two smaller spheres of Radii hollowed out of it as shown in the figure given below.The moment of inertia of the resulting body about y-axis if R = 2.5 m & p = 4.6 kg/m3 isCorrect answer is '620'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The moment of inertia of a uniform sphere of radius ‘r’ about an axis passing through its centre is given by .A rigid sphere of uniform mass density ‘p ’ & radius ‘R’ has two smaller spheres of Radii hollowed out of it as shown in the figure given below.The moment of inertia of the resulting body about y-axis if R = 2.5 m & p = 4.6 kg/m3 isCorrect answer is '620'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moment of inertia of a uniform sphere of radius ‘r’ about an axis passing through its centre is given by .A rigid sphere of uniform mass density ‘p ’ & radius ‘R’ has two smaller spheres of Radii hollowed out of it as shown in the figure given below.The moment of inertia of the resulting body about y-axis if R = 2.5 m & p = 4.6 kg/m3 isCorrect answer is '620'. Can you explain this answer?.
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