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What is moment of inertia of a solid sph...

What is moment of inertia of a solid sphere about its diameter ?

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To find the moment of inertia of a solid sphere about its diameter, we can follow these steps: ### Step 1: Understand the Concept of Moment of Inertia The moment of inertia (I) is a measure of an object's resistance to changes in its rotation about an axis. For a solid sphere, we want to find this value about its diameter. ### Step 2: Consider the Sphere as Composed of Hollow Spheres We can visualize the solid sphere as being made up of many thin hollow spherical shells. Each shell has a small thickness (dx) and a radius (x). ...
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Knowledge Check

  • If temperature increases, the moment of inertia of a solid sphere about its diameter

    A
    increases
    B
    decreases
    C
    remains unchanged
    D
    becomes negative

  • With the increase in temperate, moment of inertia of a solid sphere about the diameter.

    A
    decreases
    B
    increases
    C
    does not change
    D
    none of these

  • Moment of inertia of a solid sphere about its diameter is I_(0) . Then moment of inertia about an axis parallel to its diameter at a distance equal to half of its radius is

    A
    `8I_(0)//13`
    B
    `13I_(0)//8`
    C
    `7I_(0)//2`
    D
    `2I_(0)//7`

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    A disc of radius R and thickness has moment of inertia / about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is

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