Question

A uniform rod of mass m and length l which is free to rotate

Answer 1

Since the reaction force at the height is not doing any work, total mechanical energy is conserved.

ΔPE=mgl/2(1−cosθ)

ΔK=12I0.w2

=12ml23.w2

12ml23w2=mgl. sin2θ/2

w=6gl−−−√sinθ/2

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