INSTRUCTIONS:

You may use MS Excel or Google Sheets to accomplish this Machine Problem.

The contents of the write$-$up are listed below. Start each problem on a new page.

a$)$ Problem Title

Write an appropriate title at the top of the first page.

b$)$ Problem Statement

Summarize the problem statement $($in paragraph form$).$

c$)$ Results and Discussion

Provide a short discussion of results. Explain and show your complete solution, including derivations $($if necessary$)$ and equations used. BOX your final answers.

d$)$ Problems Encountered

Write a paragraph about the problems you have encountered in accomplishing this Machine Problem. It may involve the statement of the problem and$/$or difficulty of the problem. Also, narrate how you responded to these problems.

e$)$ References

Make a list of references $($books$,$ internet sources, etc.$)$ used to solve the problems.

Write$-$up should be written in letter$-$sized paper and should be saved in PDF format. All files $($PDF$,$ MS Excel, or Google Sheets$)$ shall be submitted in your respective MS Teams.

Submission date will be as indicated in the MS Teams. Late submissions will not be accepted for whatever reason.

PROBLEM NO$.1$

An L$-$shaped rod's position is controlled by a cable attached at B as shown in Figure $1.$ The rod supports a load of $P=50lb,$ create a worksheet or spreadsheet to calculate the tension $T$ in the cable for values of $$ from $0$ to $120$ using $10$ increments. Using appropriate smaller increments, calculate the maximum tension $T$ and the corresponding value of $.$

PROBLEM NO$.2$

The position of the $10-kg$ rod $AB$ is controlled by the block shown in Figure $2$ which is slowly moved to the left by the force P$.$ Create a worksheet or spreadsheet that can be used to calculate the magnitude of $P$ for values of $x$ decreasing from $750mm$ to $0$ using $50-mm$ increments. Using appropriate smaller increments, determine the maximum value of $P$ and the corresponding value of $x.$ Neglect the effect of friction.

PROBLEM NO$.3$

The derrick shown in Figure $3$ supports a $2000-$kg crate. It is held by a ball$-$and$-$socket joint at A and by two cables attached at $D$ and $E.$ Knowing that the derrick stands in a vertical plane forming an angle $\frac{O}{?}$ with the $xy$ plane, create a worksheet or spreadsheet that can be used to calculate the tension in each cable for values of $\frac{O}{?}$ from $0$ to $60$ using $5$ increments. Using appropriate smaller increments, determine the value of $\frac{O}{?}$ for which the tension in cable $BE$ is maximum.