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?
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
72mr2
b
132mr2
c
292mr2
d
552mr2
answer is D.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
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 mr22