There are many applications of Law of Motion. Some important applications are as under.
The circular motion of a car on a flat and bank road are as
(I) Circular Motion Of A Car On Level Road
When a vehicle goes round a curved road, it requires some centripetal force. While rounding the curve, the wheels of the vehicle have a tendency to leave the curved path and regain the straight path. The force of friction between the road and the tyres provided the centripetal force required to keep the car in motion around the curve.
There are three forces acting on the car such as
(I) The weight of the car mg, acting vertically downwards.
(II) Normal Reaction R of the road on the car, acting vertically upwards.
(III) Frictional force F, along the surface of the road, i.e toward the centre of the tern.
Let a car of weight mg going around a circular level road of radius r with velocity v, while taking the turn the tyres of the car tends to leave the road and go away from the centre of the curve.
The force of friction F is acting on the tyres and R is the normal reaction of the ground.
As there is no acceleration in the vertical direction, then
R = mg or R – mg = 0
For circular motion, the centripetal force is along the surface of the road towards the centre of the tern. The static friction opposes the impending motion of the car moving away from the circle. Thus,
(II) Motion Of A Car On A Banked Road
We consider a car of weight mg going along a curved path of radius r with speed v on road Bank at angle θ. The forces acting on the vehicle are
(a) Weight mg acting vertically downwards.
(b) Normal reaction R of the road acting at an angle θ with the vertical.
(c) Force of friction f acting downwards along the Inclined plane.