Angle of Inclination of a Vehicle on a Circular Path

The angle of inclination of a vehicle on a circular path is defined as the angle between the horizontal plane and the line passing through the center of gravity of the vehicle and the point of contact of the tire with the ground.

The angle of inclination is affected by various factors such as the speed of the vehicle, the radius of the circular path, the coefficient of friction between the tire and the ground, and the width of the tire.

Effect of Mass on Angle of Inclination

The mass of the vehicle does not affect the angle of inclination when moving along a circular path. This is because the gravitational force acting on the vehicle is perpendicular to the plane of the circular path, and hence does not affect the angle of inclination.

The angle of inclination is primarily determined by the lateral forces acting on the vehicle due to the centripetal acceleration. These lateral forces are a function of the speed of the vehicle, the radius of the circular path, and the coefficient of friction between the tire and the ground.

In fact, a heavier vehicle may actually have a smaller angle of inclination than a lighter vehicle when moving along the same circular path, since the heavier vehicle would have a greater tendency to resist lateral forces due to its greater inertia.

Conclusion

In conclusion, the mass of a vehicle does not affect the angle of inclination when moving along a circular path. The angle of inclination is primarily determined by the lateral forces acting on the vehicle due to the centripetal acceleration, which are a function of the speed of the vehicle, the radius of the circular path, and the coefficient of friction between the tire and the ground.

Tan (theeta)= v*2/gr , mass not depends. the given answer is right