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Why does a solid sphere have smaller moment of intertia than a hollow cylinder of same mass nd radius ,about an axis passing through their axis of symmetry?
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Why does a solid sphere have smaller moment of intertia than a hollow ...
Moment of inertia is a quantity that expressess a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

For a hollow cylinder all the particles are at the same distance from the axis and hence have the same contribution to moment of inertia.

On the other hand, for a solid sphere some particles are at different distance from other, thus their contribution to the moment of inertia is less.

So the overall moment of inertia of a solid sphere is less than a hollow cylinder.
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Why does a solid sphere have smaller moment of intertia than a hollow ...
In solid sphere masses are close to axis and in hollow cylinder masses are away from axis so moment of inertia greater
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Why does a solid sphere have smaller moment of intertia than a hollow cylinder of same mass nd radius ,about an axis passing through their axis of symmetry?
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