A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius 8 . 0 m , with minimum speed of 5 5 m s - 1 . The minimum value of coefficient of friction between the tyres and the wall of the well must be g = 10 m s - 2

Step-by-step solution

The forces acting on the motor cyclist are, gravitational force = m g , and frictional force = μ N = μ m v 2 r By balancing forces, ⇒ m g = μ m v 2 r ⇒ g v 2 r = μ ⇒ μ = 10 5 5 2 8 ⇒ μ = 10 × 8 125 ⇒ μ = 0 . 64