Answer to Question #97362 in Classical Mechanics for Meghna Choudhury

Question

A passenger is standing inside a moving bus. The bus negotiates the u turn in the chandmari flyover at a speed v. If the radius of curvature of the u turn is R then find the angle through which the passenger leans away from the vertical

Answer 1

We have:

$$tan{\theta}=\frac{W}{F_c}$$

$$tan{\theta}=\frac{mgR}{mv^2}=\frac{gR}{v^2}$$

The angle through which the passenger leans away from the vertical:

$$\theta=\arctan{\frac{gR}{v^2}}$$