A truck whose weight is W, has a wheelbase (distance between front and back wheels) B= 3.2 meters. On level ground the front wheels carry 65% of its weight. The center of gravity (c.g.) of the truck is distance d= .85 m above the ground and unknown horizontal distance x, behind the front wheels' contact with the ground. The coefficient of friction is f= .70 between tires and plane.

PART a. Find the distance x, from the front wheel to the c.g.

PART b. Find the maximum slope angle P, for which the truck with only front wheel drive can move up the plane.

PART c. Find the maximum slope angle Q, for which the truck with only rear wheel drive can move up the plane.

PART d. Find the maximum slope angle S, for which the truck with four wheel drive can move up the plane.