Travelling at a speed of 36 km/hr , a car is taking a turn on a circular road of radius 50 m . A small wooden plate is positioned on the seat with its plane perpendicular to the radius of the circular road. A small block of mass 100 g is placed on the seat, resting against the plate. The friction coefficient between the block and the plate is = 0.58 . The plate is subsequently turned slowly such that the angle betwee

Step-by-step solution

In the rotating frame of the car, the block experiences a centrifugal force F_c = mv^2 R directed radially outwards. Let be the angle between the normal to the plate and the radius of the circular road. The centrifugal force can be resolved into two components relative to the vertical plate. The component perpendicular to the plate provides the normal force N = F_c , and the component parallel to the plate is the driving force F_ = F_c . The maximum static frictional force between the block and the plate is f_ max