NEET 2008 Physics question
A thin rod of length and mass is bent at its midpoint into two halves so that the angle between them is . The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
Answer: (3)
Solution
The axis passes through the bend and is perpendicular to the plane of the two halves. Each half has mass and length , and its end lies on the axis, with the rod perpendicular to the axis. For a rod about a perpendicular axis through one end: \frac{1}{3}\ell^2$ =
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