Solid sphere A is rotating about an axis P Q . If the radius of the sphere is 5   cm , then its radius…

Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm, then its radius of gyration about PQ will be x cm. The value of x is _____.

Solution

 

Using parallel axis theorem,

IPQ=ICOM +Md2

=25MR2+Md2

=M25×52+102

=M[110]=Mk2

k=110 cm

Therefore, x=110.

Asked in: JEE Main 2023 (24 Jan Shift 1)

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