PLEASE USE MATLAB SOFTWARE TO ANSWER !!!!

A solid metal cylinder is subjected to a load, as shown above.

The maximum possible stress that the cylinder can sustain before mechanical failure is 75 Pa (75 N/m2). Note, d=50 cm is the cylinder diameter.

1. What is the algebraic solution for the limiting load in N that the cylinder can support?

In your code, calculate this value algebraically and assign it to a variable. Output this limiting load to the workspace.

2. Generate 1000 random force values uniformly distributed between 0 N and 30 N, and then determine the percentage of times that the cylinder will fail. Output this percentage to the workspace. [Hint: use (rng shuffle) before calculating the random forces]