A box of mass M, held in place by friction, rides on the flatbed of a truck which is traveling with constant speed v. The truck is on an unbanked circular roadway having radius of curvature R.
a. On the diagram provided above, indicate and clearly label all the force vectors acting on the box.
b. Find what condition must be satisfied by the coefficient of static friction µ between the box and the truck bed. Express your answer in terms of v, R, and g.
If the roadway is properly banked, the box will still remain in place on the truck for the same speed v even when the truck bed is friction less.
c. On the diagram above indicate and clearly label the two forces acting on the box under these conditions
d. Which, if either, of the two forces acting on the box is greater in magnitude?
