ABC is a plane lamina of the shape of an equilateral triangle. D, E are midpoints of AB, AC and G is the centroid of the lamina. Moment of inertia of lamina about an axis passing through G and perpendicular to the plane ABC . If the part ADE is removed, the moment of inertia of the remaining part about the same axis is where N is an integer. Value of N is _____________
Option: 1 11
Option: 2 9
Option: 3 8
Option: 4 7
Let the side of the triangle is a and mass is m
Triangle ADE is also an equilateral triangle of side .
Let the moment of inertia of triangular plate ADE about its centroid (G') is and mass is
now MOI of remaining part
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