4. The curves on a race track are banked to make it easier for the cars to go around the curves at high speed. A
free-body diagram of a car on a banked curve is shown. From the motion diagram, find the normal force, speed
v and acceleration a of a 1750 kg car turning on a curve with radius 6 meters.
Banked Curves
FN cose
0
8(
mų
FN
X
FN sing
Banking a curve helps keep cars from skidding.
For every banked curve, there is one speed v at
which the entire "centripetal force" is supplied
by the horizontal component of the normal
force FN & no friction is required.