Instructions For Project 1: Solve The 5 Problems Individuall

instructionsproject 1 Has 5 Problems Solve The Problems Individually

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.

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. Determine the moment projected by the force F in the above figure about point O. Express the result as a Cartesian vector. i) find the position vectors rA, 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. The three forces act on the rod shown in figure. Determine the resultant moment they create about the flange at O. Express the result as a Cartesian vector. F3 = {30i + 30j} N. 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.......3846 0.3846 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 MATLAB 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. © 2007 South University Florida Man Sentenced To Chemical Castration By Rhonda Erskine, 14 February, 2007 ST. AUGUSTINE: A St. Augustine, Florida man has been sentenced to chemical castration on top of a 25 year prison sentence. 60-year-old Dean Claude Odermatt pleaded no contest to having sexual activity with a child. "This is the worst I've ever seen as far as someone behaving toward a juvenile or minors," Assistant State Attorney Carlos Mendoza said. So the child would not have to testify or face Odermatt in court, the attorneys in the case made a deal. Odermatt would face 25 years in prison instead of the mandatory life sentence that comes with the charge. The chemical castration penalty was up to the judge to decide, and Circuit Judge Wendy Berger did just that. Mendoza and the State Attorney's office pushed for the chemical castration penalty because of Odermatt's alleged history of sexual crimes, especially with children. "In protecting those citizens, we have a responsibility to do things that aren't popular and aren't pleasant," Mendoza said. "This guy rapes and sodomizes little kids and has done it for 30 years, so anything we can do to keep him from doing it in the future, we will have to do." In the penalty phase, the judge heard testimony from people who described Odermatt's sexual assaults. There were allegations of raping a five year old, showing pornography to children, molesting children, and even bestiality. A 1997 Florida state statute allows chemical castration. "If you've been convicted of a sexual battery and then you're convicted again the second time, chemical castration per the statute is mandatory," Mendoza said. "And for first time rapists or sexual batterers, it's up to the court's discretion." According to the statute, Odermatt will receive castration injections 90 days before he's released from prison. By that time he will be 85- years-old. Odermatt's attorney said his client has not mentioned appealing the ruling. Source:

Paper For Above instruction

The assignment encompasses a multifaceted approach to analyzing and solving engineering problems using MATLAB and applying theoretical concepts to real-world scenarios. The initial steps involve analyzing a mechanical system depicted in a figure, calculating the unit vectors for various forces, determining the force vectors, organizing these forces into matrix form, and computing the resultant force through summation. The next phase focuses on the calculation of moments about a specified point using position vectors, unit vectors, and cross products, illustrating the principles of static equilibrium in physics and engineering.

Subsequently, the task shifts to analyzing forces acting on a rod, computing the resultant moments about a flange, and expressing the results as Cartesian vectors—highlighting the importance of vector calculus in mechanical analysis. The core of the assignment involves solving a system of eight linear equations corresponding to the equilibrium conditions of a truss structure, determining the forces in each member accurately via MATLAB programming. This process underlines the practicality of MATLAB in structural analysis essentially used for complex systems that are challenging to solve manually.

In the final component, the assignment encourages the application of MATLAB to solve a complex engineering problem derived from a real-world scenario from a mechanical engineering perspective. The selected problem should demonstrate MATLAB's capability to handle intricate calculations, optimization, or modeling that cannot be feasibly performed by hand. The report should include the problem description, the MATLAB code used, and the results obtained, illustrating the tool’s effectiveness in solving real engineering challenges.

Overall, this project aims to strengthen technical skills in vector calculus, matrix organization, and computational methods in engineering, emphasizing the importance of MATLAB as a powerful analytical and problem-solving resource. It provides a comprehensive experience in applying theoretical knowledge to practical and computationally intensive engineering problems, fostering a deeper understanding of static mechanics, structural analysis, and computational modeling techniques.