State and explain the theorem of parallel axes.
Question: State and explain the theorem of parallel axes.
The theorem of parallel axes is a theorem in physics that states that the moment of inertia of a rigid body about any axis is equal to the sum of its moment of inertia about a parallel axis passing through its center of mass and the product of its mass and the square of the distance between the two axes. In simpler terms, it means that if we know the moment of inertia of a body about its center of mass, we can easily calculate its moment of inertia about any other parallel axis by adding the product of its mass and the square of the distance between the two axes. This theorem is useful in mechanics and engineering as it helps us calculate the rotational motion of a rigid body about different axes, and is applicable in various fields such as robotics, automotive engineering, and aerospace engineering.
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