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A wire of linear mass density lambda (kg...

A wire of linear mass density `lambda (kg//m)` is bent into an arc of a circle of radius R subtending an angle `2 theta_(0)` at the centre. Calculate the moment o inertia of this circular arc about an axis passing through its midpoint (M) and perpendicular to its plane.

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The correct Answer is:
`I = 4 lambda R^(3) (theta_(0) - sin theta_(0))`
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