Instructions:
Project 1 has 5 problems, solve the problems individually. Make sure you have all your MATLAB code, plots, figures and answers included in sequence, save as one pdf file, before submitting to Canvas.
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Find the unit vectors u1 u2 and u3
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Project 1
2
1. For the system shown in the figure below, solve the following problems:
i) find the unit vectors (u1, u2, and u3) for F1, F2, and F3 respectively.
ii) using the results in part (i), determine the force vectors.
iii) organize the three forces from part (ii), put them in matrix form.
iv) using sum function to sum up the x and y components from part (iii), to determine the resultant force FR.
x y
F1
F2
F3
2. Determine the moment projected by the in the above figure about point O. Express the result as a Cartesian vector.
i) find the , rB, and rAB.
ii) using the results in part (i), determine the unit vector uAB.
iii) organize the forces from part (ii), by using F = F uAB.
iv) using cross function to determine the moment by using rA x F, or rB x F
3
5 kN
4
3. The three forces act on the rod shown in figure. Determine he resultant moment they create about the flange at O. Express the result as a Cartesian vector.
F3 = {30i + 30j} N
C
5
4. The forces in the eight members of the truss shown in figure are determined from the solution of the following system of eight equations (equilibrium equations of pins A, B, C, and D):
0.9231 1690
0.7809 0
0.8575 0
0.3846 3625
0.6247 0
0.5145 0
0.3846 0.3846 0.7809 0
0.9231 0.6247 0.9231 0
AC
AB BC
CD DE
AB AC
BC BD
BD DE DF
CE AC BC CD
AC BC CE
F
F F
F F
F F
F F
F F F
F F F F
F F F
=
– =
+ =
– – =
– =
– – =
– – – =
+ – =
Write a MATLAB programming to determine the forces in the eight members.
6
5. Application of MATLAB.
From mechanical engineering courses, try to use MATALB to solve one engineering problem, which is complicated to be solved by hand. List the question came from which UNT course, MATLAB programming part, and result for this problems.
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