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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) 
0 0 0
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