Question

Derive an expression for maximum safe speed of a car on a banked road. Get an expression for the optimum speed also.

Answer 1

Answer:

         $v=\sqrt{grtan\alpha }$

Explanation: Put α=θ

When,  $v>\sqrt{grtan\alpha }$ then car sweeps outwards.

            $v<\sqrt{grtan\alpha }$ then car sweeps inwards.

            $v=\sqrt{grtan\alpha }$ for maximum safe speed.

Now put α=θ in the attached image explanation.

Answer 2

$\textbf{Answer is in attachment!}$