Questions
Seven identical disc are arranged in a hexagonal, planar pattern so as to touch each neighbor, as shown in the figure. Each disc has mass m and radius r. What is the moment of inertia of the system of seven discs about an axis passing through the centre of central disk and normal to plane of all discs?
detailed solution
Correct option is D
I = I0+6I'I0 is the moment of inertia of central disc and I' is moment of inertia of rest of the each disc about specified axis.By parallel axes theoremI = mr22+6(Icm+md2) = mr22+6[mr22+m(2r)2] = mr22+6mr22+24mr2 = 55 mr22Talk to our academic expert!
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The moment of inertia of a circular disc of radius 2 m and mass 2 kg, about an axis passing through its centre of mass is 2 kg – . Its moment of inertia about an axis parallel to this axis and passing through its edge (in Kg -) is
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