Why does a solid sphere have smaller moment of inertia than a hollow cylinder of same mass and radius,
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It is because the moment of inertia is sigma mr^2
It is dependant on mass and distance of particles from the centre of mass
Since the mass is same it comes to the distance of particles from the centre of mass
Since the particles of hollow sphere is located at its rim it has more moment of inertia for the same mass and same radius.
People may think that in a solid sphere there is more mass inside the rim for same Radius than hollow sphere but having said that the mass is same ,there is no extra mass inside it.
It is dependant on mass and distance of particles from the centre of mass
Since the mass is same it comes to the distance of particles from the centre of mass
Since the particles of hollow sphere is located at its rim it has more moment of inertia for the same mass and same radius.
People may think that in a solid sphere there is more mass inside the rim for same Radius than hollow sphere but having said that the mass is same ,there is no extra mass inside it.
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