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equal to the kinetic energy of the plate (
1
2
I
ω
m
2
where this
ω
m
is the maximum angular
speed of the plate, not the angular frequency
ω
).
Noting that the maximum angular speed
of the plate is
ω
m
=
ωθ
o
where
ω
= 2
π
/
T
with
T
= 20 ms = 0.02 s as determined from the
graph, then we can find the rotational inertial from
1
2
I
ω
m
2
= 0.0093 J. Thus,
52
1.3 10 kg m
I
−
=×
⋅
.
54. We note that the initial angle is
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 Spring '08
 Any
 Physics

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