1.

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is

A. \(\frac{{137}}{{15}}{\rm{\;M}}{{\rm{R}}^2}\)
B. \(\frac{{209}}{{15}}{\rm{\;M}}{{\rm{R}}^2}\)
C. \(\frac{{17}}{{15}}{\rm{\;M}}{{\rm{R}}^2}\)
D. \(\frac{{152}}{{15}}{\rm{\;M}}{{\rm{R}}^2}\)
Answer» B. \(\frac{{209}}{{15}}{\rm{\;M}}{{\rm{R}}^2}\)


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