This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Mass of cyclist + cycle = M
radius of curvature of th e  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)