Question

(c) Deduce an expression for the angle of
bending of a cyclist on a curved peth. 4​

Answer 1

║⊕ANSWER⊕║

Mass of cyclist + cycle = M

Radius of curvature of the  curved path = R

Angle of inclination from vertical = Ф

Acceleration due to gravity = g

Velocity of cyclist = v

Let the normal force : N  from the ground on to cyclist.  

Balance forces in horizontal and vertical directions.

      N sin Ф = M v² / R  = centripetal force for the cyclist to move in a curve of radius R

         N cos Ф = M g    =  weight balanced by normal reaction from ground

 

 SO divide equ 1 by equ 2

     Tan  Ф = v² / Rg                Ф = tan^-1  (v² / R g)