A motorcycle travels across an overbridge of radius R . The driver keeps the speed constant. While the motorcycle is ascending the overbridge, the normal force acting on it

Step-by-step solution

Let be the angle made by the radius vector of the motorcycle with the vertical. The forces acting on the motorcycle along the radial direction are the component of weight mg towards the center and the normal reaction N away from the center. The net force provides the necessary centripetal acceleration: mg - N = mv^2 R N = mg - mv^2 R While the motorcycle is ascending the overbridge, it moves towards the highest point, so the angle decreases. As decreases, the value of increases. Since the speed v is constant, the t