Home Physics System of Particles Rotational Motion Moment of Inertia Three rings each of mass m and radius r are …
Physics System of Particles Rotational Motion Moment of Inertia MCQ (Single Correct)

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is :

A
B
C
D

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The correct answer is:
D

Ι = Ι 1 + Ι 2 + Ι 3

Ι 1 = Ι 2 = mr 2

Ι 3 =

∴ Ι = Ι 1 + Ι 2 + Ι 3 = mr 2

Moment of inertia = 3mk 2 where k is radius of gyration.

3mk 2 = mr 2 ⇒ k =

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