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Find the moment of inertia of a pair of ...

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

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The correct Answer is:
A, B, D
The two bodies of mass m and radius are movgn along the common tangent. Therefore moment of inertial of th first body about XY tangent
`mr^2+2/5mr^2`
`=moment of inertia of the sencon body XY tangent
`=mr^2+2/5mr^2=7/5mr^2`
Therefore, net moment of inertia
`=7/5mr^2+7/5mr^2`
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Knowledge Check

  • The moment of inertia of a thin uniform ring of mass 1 kg and radius 20 cm rotating about the axis passing through the center and perpendicular to the plane of the ring is

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  • Moment of inertia of solid sphere of radius r_(0) is

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