A thin rod MN, free to rotate in the vertical plane about the fixed end N, is held horizontal. When the end M is released the speed of this end, when the rod makes an angle α with the horizontal, will be proportional to : (see figure)
As we have learnt
Kinetic energy of rotation -
- wherein
= moment of inertia about axis of rotation
= angular velocity
From energy conservation,
or
speed of end m
Option 1)
Option 2)
Option 3)
Option 4)
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