obtain an expression for the angle of lean when a cyclist takes a curved path
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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)
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)
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