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+4 votes
47.6k views
in Physics by (49.1k points)

ABC is a plane lamina of the shape of an equilateral triangle. D, E are mid points of AB, AC and G is the centroid of the lamina. Moment of inertia of the lamina about an axis passing through G and perpendicular to the plane ABC is I0. If part ADE is removed, the moment of inertia of the remaining part about the same axis is NI0/16 where N is an integer. Value of N is ____.

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1 Answer

+3 votes
by (46.9k points)

Let side of triangle is a and mass is m 

Triangle ADE is also an equilateral triangle of side a/2.

Let moment of inertia of triangular plate ADE about it's centroid (G') is I1 and mass is m1

N = 11

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