Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres form an equilateral triangle of side of length d . The ratio I 0 I A of moment of inertia I 0 of the system about an axis passing the centroid and about center of any of the spheres I A and perpendicular to the plane of the triangle is:

Question

Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres form an equilateral triangle of side of length d . The ratio I 0 I A of moment of inertia I 0 of the system about an axis passing the centroid and about center of any of the spheres I A and perpendicular to the plane of the triangle is:, 13 23, 15 13, 23 13, 13 15

MARKS App · Accepted Answer

M.I about O = 3 2 5 M d 2 2 + M d 3 2 = 13 10 M d 2 M.I about A = 2 2 5 M d 2 2 + M d 2 + 2 5 M d 2 2 = 23 10 M d 2 Now ratio = 13 23

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