Objective:

Design a simple, freestanding ladder that can safely support a person climbing it$.$ Analyze the forces and moments acting on the ladder to ensure stability and safety.

Project Deliverables:

$1.$ Free$-$body diagrams $($FBDs$)$ for the ladder.

$2.$ Force and moment calculations to ensure stability.

$3.$ A short report summarizing the analysis and design.

$4.$ Final recommendations and suggestions for improvement.

Project Requirements:

Ladder Specifications:

$-$ Total height: $3$ meters

$-$ Width at the base: $0\mathrm{.}8$ meters

$-$ Inclination: $\backslash (70^\{\backslash$circ$\}\backslash )$ from the ground.

$-$ Loads: Assume a $75$ kg person stands at the midpoint of the ladder.

$-$ Material: Use wood or aluminum.

Constraints:

$1.$ The ladder must not tip over or slide.

$2.$ The normal and friction forces at the base must balance the applied load.

$3.$ Ensure the material can handle the stress safely.

$\backslash [$

$\backslash$sigma$=\backslash$frac$\{$M$\_\{\backslash$max $\}*$ y$\}\{$I$\}$

$\backslash ]$

Assessment Criteria:

$1.$ Correct calculations of forces and moments $(\backslash (25\backslash \%\backslash ))$

$2.$ Proper FBDs and equilibrium equations $(\backslash (25\backslash \%\backslash ))$

$3.$ Feasibility of the ladder dimensions and material choice. $(30\backslash \%)$

$4.$ Well$-$drawn diagrams and concise explanations in the report $(20\backslash \%)$

Note: Treat the ladder as a beam to calculate the bending stress due to the person's weigh.

This is for a project and i dont expect someone to do it for me i just need help understanding what shes asking. It seems impossible to me$.$ How am i supposed to calculate the friction without the coefficient, and i cant solve for it because theres too many unknowns.