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(a) The speed of the box is related to the angular speed of the wheel by
v
=
R
ω
, so that
Km
v
v
K
m
box
box
box
box
m/s
=
¡
==
1
2
2
141
2
.
implies that the angular speed is
= 1.41/0.20 = 0.71 rad/s. Thus, the kinetic energy of
rotation is
1
2
2
10 0
I
=
.J
.
(b) Since it was released from rest at what we will consider to be the reference position
for gravitational potential, then (with SI units understood) energy conservation requires
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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, Energy

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