Question

The mathematical statement of principle of parallel axes theorem is
Io=Ic + Mr^2
Io=Ic - Mr^2
Iz=Ix + Iy
Iz=Ix - Iy

Answer 1

Answer:

$\rm I_0 = I_c + Mr^{2}$

Explanation:

• Parallel axis theorem 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.
• It is applicable to a body of any shape.

Answer 2

Parallel Axis Theorem :

• It is used when we try to find out the moment of inertia along an axis which is parallel to the geometric axis of the object.

• Mathematically, the net moment of inertia along the new Axis will be equal to moment of inertia along the initial axis plus the product of mass and square of the distance between the parallel axes.

$\boxed{I_{o} = I_{c} + M {r}^{2} }$

Hope It Helps.