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Question
What is the moment of inertia in a thin hollow sphere touching the edge (tangent)???
What is the moment of inertia in a thin hollow sphere touching the edge (tangent)???
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Solution
moment of inertia of hollow sphere=2/3MR^2
therefore by parallel axis theorem
moment of inertia of hollow sphere along a tangent passing touching its edge is=2/3MR^2+Mx^2
where x =radius(R)=distance from central axis to the tangent
therefore moment of inertia of hollow sphere along a tangent passing touching its edge is =2/3MR^2+Mx^2
=5/3MR^2
therefore by parallel axis theorem
moment of inertia of hollow sphere along a tangent passing touching its edge is=2/3MR^2+Mx^2
where x =radius(R)=distance from central axis to the tangent
therefore moment of inertia of hollow sphere along a tangent passing touching its edge is =2/3MR^2+Mx^2
=5/3MR^2
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