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4. If we let “W” refer the cylindrical wheel, “C” refer to its center, and “I” where it
touches the surface, and we let “R” refer to the rod, setting
i
to be the direction of the
motion of the wheel,
j
, directed from “C” to “I”, and (finally) let “F” be the frame where
the pin and surface are stationary
()
R
v
R
v
C
C
C
C
IC
C
I
C
ω
=
⇒
−
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Unformatted text preview: × ω + = ⇒ × ω + = j k i r v v v v v v ( ) ( ) ( ) j i k j i i r v v v − − × ω + + + = ω ⇒ × ω + + = R v R R R C C AC R F A R C F C 2 2 / 2 / / / / v idirection: ( ) R R C C R v R ω + = ω 2 2 / 2 / ; jdirection: ( ) R R C R v ω − = 2 2 / 2 / Combining these two equation: R C ω = ω 4 ; answer: 4 rad/s k...
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This note was uploaded on 04/09/2008 for the course TAM 212 taught by Professor Keane during the Spring '08 term at University of Illinois at Urbana–Champaign.
 Spring '08
 Keane

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