Comparing Moment of Inertia of Wood and Iron Spheres

  • Thread starter Amith2006
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In summary, the question is about the moment of inertia of two spherical balls, one made of wood and one made of iron with the same diameter. The formula for the moment of inertia of a solid sphere is given. The doubt is whether the iron ball, with a greater mass, will have a larger moment of inertia. It is explained that for a given radius, the moment of inertia of the iron ball will indeed be larger due to its greater mass. An example is given to illustrate this concept.
  • #1
Amith2006
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Sir,
1) Consider two spherical balls one made of wood and other made of iron having the same diametre. Which one has greater moment of inertia about their centre of gravity?
 
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  • #2
The formula for any solid sphere is
[tex] I=\frac{2}{5}mr^2[/tex]
 
  • #3
Sir,
My doubt is - For a given radius, the iron sphere having a greater mass should have larger moment of inertia, isn't it?Suppose mass of iron sphere is twice the mass of wooden sphere. In that case,
Moment of inertia of wooden ball = 2/5(MR^2)
Moment of inertia of iron ball = 2/5(2MR^2)
Here the symbol "^" represents power.
 
  • #4
You got your answer...
 

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