1. Three rings each of mass m and radius r are so placed that they touch each other as shown in the figure. The moment of inertia of the system about [NCERT Pg. 167) the axis OO' is O 10 5 2 (1) 5 m2 ) (2) Emre (4) m (3) 7 m2 4) I mre 2
Answers 1
Explanation:
Moment of inertia of the upper ring about the axis I
1
=
2
1
mr
2
Moment of inertia of the one of the lower ring about the axis I
2
=
2
1
mr
2
+mr
2
=
2
3
mr
2
Similarly, moment of inertia of the second lower ring about the axis I
3
=
2
3
mr
2
Total moment of inertia of the system about the axis I=I
1
+I
2
+I
3
=
2
7
mr
2
Radius of gyration k=
3m
I
=
6
7
r
-
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