Vehicle on a horizontal Curve Road

Vehicle on a horizontal Curve Road

We have seen that, while driving a vehicle on a horizontal road, the vehicle sometime slip, this is only because of overspeeding or less frictional force acting between tyre and road. Let us understand the mathematics behind it.

In the figure A below. consider a vehicle moving on a horizontal road of radius 'r' and let frictional force between tyre and road is 'Fs' .The total force acting on the system is horizontal and vertical force.

vehicle on horizontal curve road
Figure A

Horizontal force : a) Weight 'mg' acting downwards.

                                  b) Normal reaction 'N' acting upwards.

Vertical force : a) Frictional force 'Fs' acting as b) centripetal force.

Balancing the forces,


Related topics : Rotational dynamics     Uniform circular motion     Centripetal force  vehicle on horizontal curve road    well of death     banking of road     vertical circular motion    conical pendulum     kinetic energy of rotating body   moment of inertia   parallel axis theorem    perpendicular axis theorem   application of moment of inertia   Angular momentum   torque   conservation of angular momentum

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