Problem

Your firm is planning to submit a bid on an upcoming large earthwork project. You've been asked to

analyze a CAT $637$K$,$ twin$-$engine wheeled tractor$-$scraper $($conventional$,$ not a push$-$pull unit$)$ for a

critical segment of the return $($empty$)$ travel route. The machine will have to ascend a $10\%$ grade on a

clayey soil subgrade. The concern is whether the machine can travel at a minimum speed of $5$ mph $($for

productivity considerations$)$ on the naturally $($in situ$)$ wet clayey soil subgrade.

Answer the questions below, using the CAT $637$ K spec sheet provided, and following assumptions:

The machine's rated flywheel power is its gross power

SAE efficiency factor of $0\mathrm{.}85$ for downrating the machine's gross power

Coefficient of Traction $()$ value of $0\mathrm{.}45$

CAT $637$ K tire penetration of $4$ inches

Small angle assumption for grade resistance

Questions

What is the gross power of the machine's $A)$ tractor engine, and $B)$ scraper engine?

What is the machine's combined approximate gross power?

What is the machine's total "available" power, in terms of linear force, working at the desired

minimum $5$ mph speed $($round to nearest $100$ lbs $)?$ Show your calculation for each engine.

What tractive force is the machine likely to develop when operating on the sloped, clayey soil

return travel segment $($round to nearest $100$ lbs $)?$ Show your calculation for each powered axle.

What is the required power $($linear force$)$ for the machine to ascend the sloped, clayey soil

return travel segment $($round to the nearest $100$ lbs $)?$

What is the magnitude of "usable" power $($linear force$)$ the machine is expected to generate on

the sloped, clayey soil subgrade return travel segment $($round to the nearest $100$ lbs $)?$

What is your recommendation to the team about the CAT $637$ K traveling on the critical return

travel route segment? Will it work, or not?