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Question

Question: Radius of gyration of uniform thin rod of lenght L about an axis assing normally through its centre ...

Radius of gyration of uniform thin rod of lenght L about an axis assing normally through its centre of mass is:

A

L12\frac { \mathrm { L } } { \sqrt { 12 } }

B
C
D

12L.

Answer

L12\frac { \mathrm { L } } { \sqrt { 12 } }

Explanation

Solution

ML212=MK2 K=L12\frac { \mathrm { ML } ^ { 2 } } { 12 } = \mathrm { MK } ^ { 2 } \Rightarrow \mathrm {~K} = \frac { \mathrm { L } } { \sqrt { 12 } }