The rotational inertia of a thin rod about one end is 1/3 ML2. What is the rotational inertia of the same rod about a point located 0.40 L from the end

The value is    

Explanation:

From the question we are told that

  The rotational inertia about one end is

   The location of the axis of rotation considered is

Generally the mass of the portion of the rod from the axis of rotation considered to the end of the rod is  

Generally the length of the rod from the its beginning to the axis of rotation consider is

Generally the mass of the portion  of the rod from the its beginning to the axis of rotation consider is

Generally the rotational inertia about the axis of rotation consider for the first portion of the rod is

Generally the rotational inertia about the axis of rotation consider for the second  portion of the rod is

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Generally by the principle of superposition that rotational inertia of the rod at the considered axis of rotation is

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