Answer:
Yes, a frictional force would be required parallel to the bank in the direction downwards the bank to prevent the car from moving off the bank.
Question:
A 1050-kg car rounds a curve of radius 72 m banked at an angle of 14°. If the car is traveling at 83 kmh, will a friction force be required? If so, in what direction?
Step-by-step explanation:
When a car is to move round a curve with a particular radius, the centrifugal force due to rounding the curve would act on it, which would try to push it off the bank.
As a result of the inclined bank, a force as a result of gravity will act on it to prevent it from moving off the bank.
Fc = mv^2/r
Fw = mgsin14
Where;
Fc is the centrifugal force.
m = mass
Fw = force as a result of weight.
v = velocity of car
r = radius of circular path
g = acceleration due to gravity.
Looking at the two forces, due to the high speed of the car, low angle of inclination of the bank and relatively low radius of round path, the centrifugal force will be high than the force resulting from the weight to keep the car on the track.
Fc > Fw
Fc is directed out of the bank
Fw is try to keep the car on track
Therefore, when Fc > Fw and without frictional force acting inward(down the bank) to neutralise the centrifugal force the car would move off the bank and out of the round curve track. So frictional force is needed in the direction downwards the bank to keep the car on track.