# Vehicle in Circular Motion#

## Part 1#

A van of mass 2100.0 $$\rm{kg}$$ in uniform circular motion accelerates towards the _________ of the circle due to the force of __________ friction between the van’s tires and the road. Please fill in the blanks with one of the options below (The choices are presented in the same order as they should appear in the sentence.)

Fig. 1

• centre, kinetic

• outside, static

• centre, static

• outside, kinetic

## Part 2#

If the van moves at 91.0 $$\rm{km/h}$$ around a circle of radius 110.0 $$\rm{m}$$, find the acceleration of the van in SI units.

Please enter in a numeric value.

## Part 3#

Draw a free body diagram in the $$xz$$ plane (the plane shown on the right of Fig.1) to show the forces acting on the van in the directions perpendicular to the van’s motion. Please upload a pdf titled “fbd1”.

File upload box will be shown here.

## Part 4#

Find the size of the frictional force that keeps the van in circular motion.

Please enter in a numeric value.

## Part 5#

Above what speed would the van’s frictional force be overcome as the van tries to follow this curve?

$$\mu_s =$$ 0.6, $$\mu_k =$$ 0.4, $$\mu_r =$$ 0.02

Please enter in a numeric value.

## Part 6#

If the curve was banked toward the centre of the circle at an angle of 20.0$$^{\circ}$$ as shown on the right of Fig. 2, draw a free body diagram for the forces acting on the van in the directions perpendicular to the direction of motion as the van moves around the circle at 91.0 $$\rm{km/h}$$.

Fig. 2

File upload box will be shown here.

## Part 7#

Resolving your vectors, solve for the force of friction required to keep the van in uniform circular motion at this speed with the banked curve.