Van properties:

Front axle weight $=1520lb$

Rear axle weight $=1150lb$

CG height $=24\mathrm{.}5$ inches

Hitch height $=14$ inches

Hitch rear overhang $=23$ inches

Wheelbase $=120$ inches

Combined boat$/$trailer properties

Axle weight $=1200lb$

Hitch load $=250lb$

Wheelbase $=110$ inches

CG height $=35$ inches

a$)$ Derive the expressions for the maximum grade a mini$-$van can climb

without wheel slippage for RWD power train and $4$WD power train.

b$)$ Calculate the maximum grade$-$ability with a coefficient of friction $0\mathrm{.}3$ for

for a RWD power train and $4$WD power train. $(5$ points$)$

FBD of the van

FBD of the boat