Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the…

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 I0IA of moment of inertia I0 of the system about an axis passing the centroid and about center of any of the spheres IA and perpendicular to the plane of the triangle is:
  1. 1323
  2. 1513
  3. 2313
  4. 1315

Solution

M.I about O =325Md22+Md32=1310Md2
M.I about A =225Md22+Md2+25Md22=2310Md2
Now ratio =1323

Asked in: JEE Main 2020 (09 Jan Shift 1)

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