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13.88:
The torque on the rod about the pivot (with angles positive in the direction
indicated in the figure) is
(
29
.
2
2
L
L
θ
k
τ

=
Setting this equal to the rate of change of angular
momentum,
,
2
2
dt
d
I
I
θ
α
=
,
3
4
2
2
2
θ
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Unformatted text preview: M k θ I L k dt θ d== where the moment of inertia for a slender rod about its center, 2 12 1 ML I = has been used. It follows that . 2 and , 3 2 3 2 k M ω π M K π T ω = = =...
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