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# HW4_00W - Homework#4 ME 501 Winter 2000 Due Day is 1 A...

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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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