A thin uniform rod
of mass
and length
is pivoted at a height
as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is
. (g = gravitational acceleration)

Text Solution
Verified by ExpertsThe correct answer is:
D
The rod is pivoted at a distance
from one end. The centre of mass is at a distance
from the pivot.
Using energy conservation:
Moment of inertia about the pivot (using parallel axis theorem):

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