Question

Find an expression for the max speed of circular motion of a car in a circular horizontal track of radius R. The cofficient of static friction between the car tyres and the road along the surfaces is u

Answer 1

Answer:

Consider the following diagram,

We have,

N= mg

and

$\frac{mv^{2} }{R} \leq uN\\\frac{mv^{2} }{R} \leq umg\\\\\ Solving it furthur,\\\frac{v^{2} }{R} =ug\\v=\sqrt{ugR}$

Hence your solution.


NOTE: r in the diagram is equal to R in the question.

Apologies for my silliness ^_^".