The points on the rod between 0 ≤ r ≤ L/2 will have the same tangential speeds in both the cases.
According to the question, the rod rotates with a constant angular speed, let's say ω.
Now if the axis passes through the centre of the rod, then there is L/2 length on both the sides of axis.
if the axis passes through the end then entire length L of the rod is on one side.
Now, the relation between tangential speed V and angular speed ω is:
v = ω×r
where r is the distance of the point from axis of rotation.
now if we take r such that 0 ≤ r ≤ L/2
then the value of v for both the cases is same because ω is same.
Also in the first case we can not proceed beyond r = L/2, since the length of the rod is finite and equal to L.
Learn more about angular and tangential speed:
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