calculate the angle subtended by a cyclist taking a curve path?
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14
Answer:
Mass of cyclist + cycle =M
radius of curvature of the curved path =R
ANgle of inclination from vertical=θ
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.
Nsinθ=
R
Mv
2
= centripetal force for the cyclist to move in a curve of radius R
Ncosθ=Mg = weight balanced by normal reaction from ground
SO divide equ 1 by equ 2
tanθ=
Rg
v
2
Compairing with the equation
tanθ=
Rg
v
n
as given in question
Required answer is n=2
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