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I am unable to get it. . .can i have full explanation (informal way ) plzz ? Would you be kind enough to help me ?

I am unable to get it. . .can i have full explanation (informal way ) plzz ? Would you be kind enough to help me ?

Grade:11

2 Answers

Raghuvaran varan Chandragiri
37 Points
11 years ago

The theorem of parallel axes states that the moment of inertia of a body about any
axis is equal to the sum of the moment of inertia of the body about a parallel axis
passing through its centre of mass and the product of its mass and the square of the
distance between the two parallel axes.

521_78872_paar.GIF

Suppose a rigid body is made up of n particles, having masses m1, m2, m3, ... , mn, at
perpendicular distances r1, r2, r3, ... , rn respectively from the centre of mass O of the
rigid body.
The moment of inertia about axis RS passing through the point O:

315_78872_par.GIF

JAYANT ARORA
37 Points
11 years ago

 It is very simple..

1. It is used to find the moment of inertia of the axis parallel to that of centre of mass.

2. Its general formula is ( IAB = Icm + Md2 ) .... where AB is the parallel line , and CM is the line passing through Centre Of Mass , d is the distance between the two axis.

 

This is all parallel axis theorem..

951_78018_Parallel axis theorem( edited).jpg

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