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Moment of Inertia of Hollow Sphere

44. find the ...

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44. find the moment of inertia of @ pair of spheres, each having a mass m and radius r kept in contact about tangent passing through the point of contact

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Q. Find the moment of inertia of a pair of spheres, each having a mass

m

r

, kept in contact about the tangent passing through the point of contact.

Q. Find the moment of inertia of a pair of spheres, each having a mass mass m and radius r, kept in contact about the tangent passing through the point of contact.

Q. Two spheres of mass and radius same are in contact with each other. If the moment of inertia of a sphere about its diameter is

I

the moment of inertia of both the spheres about the tangent at their common point would be?

Q. (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be

2 M R^{2} / 5

, where M is the mass of the sphere and R is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be

M R^{2} / 4

, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

Q. A hollow sphere is cut into two halves and the halves are kept touching each other as shown in the diagram with axis

A A'

tangent to both at common point of contact. If original sphere had mass

M

R

, then find the moment of inertia of this new assembly about axis

A A'

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Moment of Inertia of Hollow Sphere

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