Three particles of masses 1g, 2gand 3g are at distances of 1cm, 2cm and 3cm from the axis of rotation. Findi) the moment of inertia of the system and ii) the radius of gyration of the system.

Three particles of masses 1g, 2gand 3g are at distances of 1cm, 2cm an

1.	Three particles of masses 1g, 2gand 3g are at distances of 1cm, 2cm and 3cm from the axis of rotation. Findi) the moment of inertia of the system and ii) the radius of gyration of the system.
Answer» Solution :(i) The MI of the system , `I=m_(1)r_(1)^(2)+m_(2)r_(2)^(2)+m_(3)r_(3)^(2)` `=1xx1^(2)+2XX2^(2)+3xx3^(2)=1+8+27=36gcm^(2) ` (ii) The radius of GYRATION `k=SQRT((I)/("TOTAL mass"))=sqrt((36)/(1+2+3))=sqrt(6)=2.449cm`