The moment of inertia of a rigid body varies with x coordinate as given by the relation I= 8- 4x +2x^ where x is in metre then the x coordinate of the centre of masss of the rigid body is
a) 0.5m
2) 1m
C) 2m
d) 3m

Question

The moment of inertia of a rigid body varies with x coordinate as
given by the relation I= 8- 4x +2x^ where x is in metre then the x
coordinate of the centre of masss of the rigid body is
a) 0 5m
2) 1m
C) 2m
d) 3m

Sanjay Singh · Accepted Answer

Dear student
As the power of x of the third term is not mentioned so i am working for power 2
I=8-4x+2x2Concept:about the axis passing through the centre of mass of the body the moment of inertia is least 
differentianting both sides of above equationdIdx=d(8-4x+2x2)dxdIdx=-4+4xfor minimum value of I we put dIdx=00=-4+4x4=4xx=1so x co ordinate of centre of mass is x=1unitRegards

The moment of inertia of a rigid body varies with x coordinate as given by the relation I= 8- 4x +2x^ where x is in metre then the x coordinate of the centre of masss of the rigid body is a) 0.5m 2) 1m C) 2m d) 3m

The moment of inertia of a rigid body varies with x coordinate as given by the relation I= 8- 4x +2x^ where x is in metre then the x coordinate of the centre of masss of the rigid body is
a) 0.5m
2) 1m
C) 2m
d) 3m