Homework #4
ME 501
Winter
2000
Due Day is April 10, 2000
1. A black-white image is given as follows. From this image, obtain a CAD model that is
represented by a combination of linear straight lines and arcs as well as circles by using the
least squares method, MATLAB or MATHEMATICA, and any Image Processing Software
such as NIH Image (its Window version may be obtained from Scion Science
Corporation :
http://www.scioncorp.com/frames/fr_scion_products.htm
as a free software
for its beta version).
2.
Consider a box beam that is supported by the fixed end at L = 1000 mm as shown in the
following. Suppose that a non-structural mass
0
500
m
kg
=
is applied at the center of the
beam, and assume that Young’s modulus is
2
210,000
/
E
N
mm
=
, the hollow rectangular
cross section of the beam is made of 1 mm thick plate with height 100 mm and width 50
mm. Design the external applied force
( )
0
x
f
t
at the free end
0
x
=
of the beam so as to
minimize the L2 norm of the displacement at the center of the beam where the

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