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85. (a) In terms of the radius of gyration
k
, the rotational inertia of the merrygoround is
I = Mk
2
. We obtain
I
= (180 kg) (0.910 m)
2
= 149 kg
⋅
m
2
.
(b) An object moving along a straight line has angular momentum about any point that is
not on the line. The magnitude of the angular momentum of the child about the center of
the merrygoround is given by Eq. 1121,
mvR
, where
R
is the radius of the merrygo
round. Therefore,
G
L
child
2
kg
m s
m
kg m / s.
==
⋅
44 0
300
120
158
..
.
bg
b
g
b
g
(c) No external torques act on the system consisting of the child and the merrygoround,
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Angular Momentum, Inertia, Momentum

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