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4. a cyclist travel in a circular arbit of radius 200m.the angle of baking is 30 degree,what is the maximum velocity with which he can travel without





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N = normal force from ground supplies centripetal force and balances weight
m = mass of vehicle and person

N cos 30 = m g              => N = 2 m g /√3
N sin 30 = m v² / R

v² = 2 m g / 2√3    * 200 / m  = 200 g /√3
v = 33.64 m /sec

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