Give one condition for a body along banked road to avoid skidding
One condition for a body along a banked road to avoid skidding is that the gravitational force, or weight, of the body must provide the necessary centripetal force to keep the body moving in a circular path.
To understand this condition better, we need to consider the forces acting on the body. The two main forces involved are the gravitational force and the frictional force. The gravitational force acts vertically downward and can be divided into two components: a component perpendicular to the road surface (normal force) and a component parallel to the road surface (weight).
When a body is moving along a banked road, the road is typically sloped or inclined. This slope allows the normal force to have a component that acts toward the center of the circular path. This component of the normal force provides a part of the required centripetal force, along with the frictional force.
For the body to avoid skidding, the weight of the body must generate enough force directed towards the center of the circular path to provide the remaining centripetal force. In other words, the weight of the body must be greater than or equal to the centripetal force required to keep it moving in a circular path.
To calculate the minimum value for the velocity of the body along the banked road without skidding, you can use the following equation:
v = sqrt(g * r * tan(theta))
Where:
- v is the velocity of the body
- g is the acceleration due to gravity
- r is the radius of the circular path
- theta is the angle of inclination or banking angle of the road
Therefore, to avoid skidding on a banked road, the body must maintain a velocity greater than or equal to the value obtained from the above equation.