ME 240: Introduction to Dynamics and Vibrations
Mechanical Engineering Department
The University of Michigan
Fall 2008
Computer Assignment #1
September 26, 2008
(Due 13
th
October, 2008 Monday)
Question 1:
The cargo compartment of a lunar transport robotic vehicle is operated by a cam-follower
mechanism which ensures tight containment while at the same time provides easy opening on
command. The slotted bar connected to the follower pushes the latch which opens the door of the
cargo compartment. When commanded to open, the follower moves along the cam from
θ
= 0
to
θ
=
π
/2
with constant angular velocity
ߠ
ሶ
=
1 rad/s
about the origin
O
such that its radial
acceleration is equal to –
ct
2
where
c
is a constant determined by the radius r
2
at
θ
=
π
/2
and
t
is
the time in seconds.
1
a)
Use MATLAB’s
ode45
solver to find the cam profile if
c = 0.5
and given the initial
conditions:
θ
= 0
,
r = 0.3 m
and
ݎ
ሶ
=
0
. Use the time step of
0.01
seconds for
θ
in the

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