Problem $3$: $(10$ points$)$ A tie rod used to pull a $5000$ kg trailer

with a truck. The maximum steady acceleration is $4\frac{m}{s^2}.$ The

tie rod has geometric features as shown below. The design

needs a factor of safety of $5.$ Select a suitable material for the

tie rod from the table of AISI steels to protect it against tensile

yielding, assuming that the stronger the material, the more

expensive it is to purchase and process.