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# Three rings each of mass m and radius R are so placed that they touch each other. The radius of gyrations of the system about the axis as shown in fig.

Asked by m.nilu 19th October 2018, 12:55 AM
Moment of inertia of ring-1 with respect to the given axis = .............(1)
where m is mass of ring and r is its radius.

Moment of inertia of ring-2 with respect to the given axis, by parallel axis theorem  = .....................(2)

similarly Moment of inertia of ring-3 with respect to the given axis, by parallel axis theorem  =   .....................(3)

Moment of inertia I of the system of combined rings is given by, I =

Since combined mass of the system is 3m, radius of gyration =[ I/(3m) ]1/2
Answered by Expert 19th October 2018, 4:43 AM
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