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Unknowns:
F, a
Gx
,
α
, N
Need another equation –
what can I do?
Kinetics (Rolling? – Don’t Know yet)
2
/
/
ϖ
α
O
G
O
G
O
G
r
r
a
a
G
G
G
G
G

×
+
=
For a disk rolling w/out slip, a
G
= r
α
Now rewrite equation (4) and sub into (1)
6/79 – Solid homogeneous cylinder released from
rest.
If
θ
=40
o
,
μ
s
= 0.3 and
μ
k
= 0.20, find a
G
and
friction force exerted by the ramp on the cylinder.
ma
Gx
ma
Gy
I
α
G
Note that I assumed all
accelerations are in the
positive direction – I’ll let
the algebra do the work.
EOM
Kinematics. Equations (14) are all good
whether slip or no slip so far.
(1)
(2)
(3)
(4)
Now we need to make an assumption
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This note was uploaded on 01/22/2011 for the course ME 212 taught by Professor Staff during the Spring '05 term at Cal Poly.
 Spring '05
 staff

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